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Finding the Third Proportional to 138,952 and 282,814

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Solution

The third proportional to 138,952 and 282,814 is: 575,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,952 : 282,814 = 282,814 : x
  2. Step 2: Convert to fraction form
    138,952/282,814 = 282,814/x
  3. Step 3: Cross multiply
    138,952x = 282,814 × 282,814
  4. Step 4: Simplify right side
    138,952x = 79,983,758,596
  5. Step 5: Solve for x
    x = 79,983,758,596/138,952
  6. Step 6: Final answer
    x = 575,621.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.