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Finding the Third Proportional to 157,698 and 341,643

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Solution

The third proportional to 157,698 and 341,643 is: 740,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,698 : 341,643 = 341,643 : x
  2. Step 2: Convert to fraction form
    157,698/341,643 = 341,643/x
  3. Step 3: Cross multiply
    157,698x = 341,643 × 341,643
  4. Step 4: Simplify right side
    157,698x = 116,719,939,449
  5. Step 5: Solve for x
    x = 116,719,939,449/157,698
  6. Step 6: Final answer
    x = 740,148.51

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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.