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Finding the Third Proportional to 157,588 and 341,432

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Solution

The third proportional to 157,588 and 341,432 is: 739,750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,588 : 341,432 = 341,432 : x
  2. Step 2: Convert to fraction form
    157,588/341,432 = 341,432/x
  3. Step 3: Cross multiply
    157,588x = 341,432 × 341,432
  4. Step 4: Simplify right side
    157,588x = 116,575,810,624
  5. Step 5: Solve for x
    x = 116,575,810,624/157,588
  6. Step 6: Final answer
    x = 739,750.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.