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Finding the Third Proportional to 130,464 and 250,560

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Solution

The third proportional to 130,464 and 250,560 is: 481,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,464 : 250,560 = 250,560 : x
  2. Step 2: Convert to fraction form
    130,464/250,560 = 250,560/x
  3. Step 3: Cross multiply
    130,464x = 250,560 × 250,560
  4. Step 4: Simplify right side
    130,464x = 62,780,313,600
  5. Step 5: Solve for x
    x = 62,780,313,600/130,464
  6. Step 6: Final answer
    x = 481,207.95

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.