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Finding the Third Proportional to 118,418 and 243,532

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Solution

The third proportional to 118,418 and 243,532 is: 500,834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,418 : 243,532 = 243,532 : x
  2. Step 2: Convert to fraction form
    118,418/243,532 = 243,532/x
  3. Step 3: Cross multiply
    118,418x = 243,532 × 243,532
  4. Step 4: Simplify right side
    118,418x = 59,307,835,024
  5. Step 5: Solve for x
    x = 59,307,835,024/118,418
  6. Step 6: Final answer
    x = 500,834.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.