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Finding the Third Proportional to 157,684 and 344,600

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Solution

The third proportional to 157,684 and 344,600 is: 753,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,684 : 344,600 = 344,600 : x
  2. Step 2: Convert to fraction form
    157,684/344,600 = 344,600/x
  3. Step 3: Cross multiply
    157,684x = 344,600 × 344,600
  4. Step 4: Simplify right side
    157,684x = 118,749,160,000
  5. Step 5: Solve for x
    x = 118,749,160,000/157,684
  6. Step 6: Final answer
    x = 753,083.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.