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Finding the Third Proportional to 137,647.13 and 304,773.19

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Solution

The third proportional to 137,647.13 and 304,773.19 is: 674,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,647.13 : 304,773.19 = 304,773.19 : x
  2. Step 2: Convert to fraction form
    137,647.13/304,773.19 = 304,773.19/x
  3. Step 3: Cross multiply
    137,647.13x = 304,773.19 × 304,773.19
  4. Step 4: Simplify right side
    137,647.13x = 92,886,695,818.91
  5. Step 5: Solve for x
    x = 92,886,695,818.91/137,647.13
  6. Step 6: Final answer
    x = 674,817.55

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.