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Finding the Third Proportional to 108,967.50 and 237,231

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Solution

The third proportional to 108,967.50 and 237,231 is: 516,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,967.50 : 237,231 = 237,231 : x
  2. Step 2: Convert to fraction form
    108,967.50/237,231 = 237,231/x
  3. Step 3: Cross multiply
    108,967.50x = 237,231 × 237,231
  4. Step 4: Simplify right side
    108,967.50x = 56,278,547,361
  5. Step 5: Solve for x
    x = 56,278,547,361/108,967.50
  6. Step 6: Final answer
    x = 516,470.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.