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Finding the Third Proportional to 129,328 and 279,044

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Solution

The third proportional to 129,328 and 279,044 is: 602,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,328 : 279,044 = 279,044 : x
  2. Step 2: Convert to fraction form
    129,328/279,044 = 279,044/x
  3. Step 3: Cross multiply
    129,328x = 279,044 × 279,044
  4. Step 4: Simplify right side
    129,328x = 77,865,553,936
  5. Step 5: Solve for x
    x = 77,865,553,936/129,328
  6. Step 6: Final answer
    x = 602,078.08

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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.