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Finding the Third Proportional to 129,526 and 279,460

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Solution

The third proportional to 129,526 and 279,460 is: 602,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,526 : 279,460 = 279,460 : x
  2. Step 2: Convert to fraction form
    129,526/279,460 = 279,460/x
  3. Step 3: Cross multiply
    129,526x = 279,460 × 279,460
  4. Step 4: Simplify right side
    129,526x = 78,097,891,600
  5. Step 5: Solve for x
    x = 78,097,891,600/129,526
  6. Step 6: Final answer
    x = 602,951.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.