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Finding the Third Proportional to 242,559 and 361,468

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Solution

The third proportional to 242,559 and 361,468 is: 538,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,559 : 361,468 = 361,468 : x
  2. Step 2: Convert to fraction form
    242,559/361,468 = 361,468/x
  3. Step 3: Cross multiply
    242,559x = 361,468 × 361,468
  4. Step 4: Simplify right side
    242,559x = 130,659,115,024
  5. Step 5: Solve for x
    x = 130,659,115,024/242,559
  6. Step 6: Final answer
    x = 538,669.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.