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Finding the Third Proportional to 129,352 and 277,604

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Solution

The third proportional to 129,352 and 277,604 is: 595,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,352 : 277,604 = 277,604 : x
  2. Step 2: Convert to fraction form
    129,352/277,604 = 277,604/x
  3. Step 3: Cross multiply
    129,352x = 277,604 × 277,604
  4. Step 4: Simplify right side
    129,352x = 77,063,980,816
  5. Step 5: Solve for x
    x = 77,063,980,816/129,352
  6. Step 6: Final answer
    x = 595,769.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.