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Finding the Third Proportional to 130,484 and 250,600

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Solution

The third proportional to 130,484 and 250,600 is: 481,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,484 : 250,600 = 250,600 : x
  2. Step 2: Convert to fraction form
    130,484/250,600 = 250,600/x
  3. Step 3: Cross multiply
    130,484x = 250,600 × 250,600
  4. Step 4: Simplify right side
    130,484x = 62,800,360,000
  5. Step 5: Solve for x
    x = 62,800,360,000/130,484
  6. Step 6: Final answer
    x = 481,287.82

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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.