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Finding the Third Proportional to 196,822.13 and 530,203.50

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Solution

The third proportional to 196,822.13 and 530,203.50 is: 1,428,273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,822.13 : 530,203.50 = 530,203.50 : x
  2. Step 2: Convert to fraction form
    196,822.13/530,203.50 = 530,203.50/x
  3. Step 3: Cross multiply
    196,822.13x = 530,203.50 × 530,203.50
  4. Step 4: Simplify right side
    196,822.13x = 281,115,751,412.25
  5. Step 5: Solve for x
    x = 281,115,751,412.25/196,822.13
  6. Step 6: Final answer
    x = 1,428,273.12

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.