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Finding the Third Proportional to 242,767 and 367,524

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Solution

The third proportional to 242,767 and 367,524 is: 556,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,767 : 367,524 = 367,524 : x
  2. Step 2: Convert to fraction form
    242,767/367,524 = 367,524/x
  3. Step 3: Cross multiply
    242,767x = 367,524 × 367,524
  4. Step 4: Simplify right side
    242,767x = 135,073,890,576
  5. Step 5: Solve for x
    x = 135,073,890,576/242,767
  6. Step 6: Final answer
    x = 556,393.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.