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Finding the Third Proportional to 196,858.50 and 406,840

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Solution

The third proportional to 196,858.50 and 406,840 is: 840,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,858.50 : 406,840 = 406,840 : x
  2. Step 2: Convert to fraction form
    196,858.50/406,840 = 406,840/x
  3. Step 3: Cross multiply
    196,858.50x = 406,840 × 406,840
  4. Step 4: Simplify right side
    196,858.50x = 165,518,785,600
  5. Step 5: Solve for x
    x = 165,518,785,600/196,858.50
  6. Step 6: Final answer
    x = 840,800.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.