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Finding the Third Proportional to 174,985.31 and 261,267.19

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Solution

The third proportional to 174,985.31 and 261,267.19 is: 390,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,985.31 : 261,267.19 = 261,267.19 : x
  2. Step 2: Convert to fraction form
    174,985.31/261,267.19 = 261,267.19/x
  3. Step 3: Cross multiply
    174,985.31x = 261,267.19 × 261,267.19
  4. Step 4: Simplify right side
    174,985.31x = 68,260,543,264.16
  5. Step 5: Solve for x
    x = 68,260,543,264.16/174,985.31
  6. Step 6: Final answer
    x = 390,092.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.