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Finding the Third Proportional to 157,828 and 234,342

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Solution

The third proportional to 157,828 and 234,342 is: 347,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,828 : 234,342 = 234,342 : x
  2. Step 2: Convert to fraction form
    157,828/234,342 = 234,342/x
  3. Step 3: Cross multiply
    157,828x = 234,342 × 234,342
  4. Step 4: Simplify right side
    157,828x = 54,916,172,964
  5. Step 5: Solve for x
    x = 54,916,172,964/157,828
  6. Step 6: Final answer
    x = 347,949.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.