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Finding the Third Proportional to 130,755 and 277,209

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Solution

The third proportional to 130,755 and 277,209 is: 587,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,755 : 277,209 = 277,209 : x
  2. Step 2: Convert to fraction form
    130,755/277,209 = 277,209/x
  3. Step 3: Cross multiply
    130,755x = 277,209 × 277,209
  4. Step 4: Simplify right side
    130,755x = 76,844,829,681
  5. Step 5: Solve for x
    x = 76,844,829,681/130,755
  6. Step 6: Final answer
    x = 587,700.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.