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Finding the Third Proportional to 130,033 and 278,498

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Solution

The third proportional to 130,033 and 278,498 is: 596,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,033 : 278,498 = 278,498 : x
  2. Step 2: Convert to fraction form
    130,033/278,498 = 278,498/x
  3. Step 3: Cross multiply
    130,033x = 278,498 × 278,498
  4. Step 4: Simplify right side
    130,033x = 77,561,136,004
  5. Step 5: Solve for x
    x = 77,561,136,004/130,033
  6. Step 6: Final answer
    x = 596,472.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.