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Finding the Third Proportional to 108,432 and 234,965.25

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Solution

The third proportional to 108,432 and 234,965.25 is: 509,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,432 : 234,965.25 = 234,965.25 : x
  2. Step 2: Convert to fraction form
    108,432/234,965.25 = 234,965.25/x
  3. Step 3: Cross multiply
    108,432x = 234,965.25 × 234,965.25
  4. Step 4: Simplify right side
    108,432x = 55,208,668,707.56
  5. Step 5: Solve for x
    x = 55,208,668,707.56/108,432
  6. Step 6: Final answer
    x = 509,154.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.