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Finding the Third Proportional to 113,862 and 242,508

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Solution

The third proportional to 113,862 and 242,508 is: 516,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,862 : 242,508 = 242,508 : x
  2. Step 2: Convert to fraction form
    113,862/242,508 = 242,508/x
  3. Step 3: Cross multiply
    113,862x = 242,508 × 242,508
  4. Step 4: Simplify right side
    113,862x = 58,810,130,064
  5. Step 5: Solve for x
    x = 58,810,130,064/113,862
  6. Step 6: Final answer
    x = 516,503.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.