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Finding the Third Proportional to 157,604 and 235,849

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Solution

The third proportional to 157,604 and 235,849 is: 352,939.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,604 : 235,849 = 235,849 : x
  2. Step 2: Convert to fraction form
    157,604/235,849 = 235,849/x
  3. Step 3: Cross multiply
    157,604x = 235,849 × 235,849
  4. Step 4: Simplify right side
    157,604x = 55,624,750,801
  5. Step 5: Solve for x
    x = 55,624,750,801/157,604
  6. Step 6: Final answer
    x = 352,939.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.