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Finding the Third Proportional to 129,853.13 and 278,181.84

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Solution

The third proportional to 129,853.13 and 278,181.84 is: 595,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,853.13 : 278,181.84 = 278,181.84 : x
  2. Step 2: Convert to fraction form
    129,853.13/278,181.84 = 278,181.84/x
  3. Step 3: Cross multiply
    129,853.13x = 278,181.84 × 278,181.84
  4. Step 4: Simplify right side
    129,853.13x = 77,385,138,192.15
  5. Step 5: Solve for x
    x = 77,385,138,192.15/129,853.13
  6. Step 6: Final answer
    x = 595,943.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.