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Finding the Third Proportional to 242,872 and 367,701

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Solution

The third proportional to 242,872 and 367,701 is: 556,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,872 : 367,701 = 367,701 : x
  2. Step 2: Convert to fraction form
    242,872/367,701 = 367,701/x
  3. Step 3: Cross multiply
    242,872x = 367,701 × 367,701
  4. Step 4: Simplify right side
    242,872x = 135,204,025,401
  5. Step 5: Solve for x
    x = 135,204,025,401/242,872
  6. Step 6: Final answer
    x = 556,688.40

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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.