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Finding the Third Proportional to 129,332 and 279,052

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Solution

The third proportional to 129,332 and 279,052 is: 602,093.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,332 : 279,052 = 279,052 : x
  2. Step 2: Convert to fraction form
    129,332/279,052 = 279,052/x
  3. Step 3: Cross multiply
    129,332x = 279,052 × 279,052
  4. Step 4: Simplify right side
    129,332x = 77,870,018,704
  5. Step 5: Solve for x
    x = 77,870,018,704/129,332
  6. Step 6: Final answer
    x = 602,093.98

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Why These Related Problems?

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