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Finding the Third Proportional to 157,872 and 343,600

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Solution

The third proportional to 157,872 and 343,600 is: 747,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,872 : 343,600 = 343,600 : x
  2. Step 2: Convert to fraction form
    157,872/343,600 = 343,600/x
  3. Step 3: Cross multiply
    157,872x = 343,600 × 343,600
  4. Step 4: Simplify right side
    157,872x = 118,060,960,000
  5. Step 5: Solve for x
    x = 118,060,960,000/157,872
  6. Step 6: Final answer
    x = 747,827.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.