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Finding the Third Proportional to 196,230 and 423,832.50

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Solution

The third proportional to 196,230 and 423,832.50 is: 915,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,230 : 423,832.50 = 423,832.50 : x
  2. Step 2: Convert to fraction form
    196,230/423,832.50 = 423,832.50/x
  3. Step 3: Cross multiply
    196,230x = 423,832.50 × 423,832.50
  4. Step 4: Simplify right side
    196,230x = 179,633,988,056.25
  5. Step 5: Solve for x
    x = 179,633,988,056.25/196,230
  6. Step 6: Final answer
    x = 915,425.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.