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Finding the Third Proportional to 242,672 and 367,402

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Solution

The third proportional to 242,672 and 367,402 is: 556,241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,672 : 367,402 = 367,402 : x
  2. Step 2: Convert to fraction form
    242,672/367,402 = 367,402/x
  3. Step 3: Cross multiply
    242,672x = 367,402 × 367,402
  4. Step 4: Simplify right side
    242,672x = 134,984,229,604
  5. Step 5: Solve for x
    x = 134,984,229,604/242,672
  6. Step 6: Final answer
    x = 556,241.47

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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.