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Finding the Third Proportional to 108,471 and 253,417.50

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Solution

The third proportional to 108,471 and 253,417.50 is: 592,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,471 : 253,417.50 = 253,417.50 : x
  2. Step 2: Convert to fraction form
    108,471/253,417.50 = 253,417.50/x
  3. Step 3: Cross multiply
    108,471x = 253,417.50 × 253,417.50
  4. Step 4: Simplify right side
    108,471x = 64,220,429,306.25
  5. Step 5: Solve for x
    x = 64,220,429,306.25/108,471
  6. Step 6: Final answer
    x = 592,051.60

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.