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Finding the Third Proportional to 157,612 and 236,582

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Solution

The third proportional to 157,612 and 236,582 is: 355,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,612 : 236,582 = 236,582 : x
  2. Step 2: Convert to fraction form
    157,612/236,582 = 236,582/x
  3. Step 3: Cross multiply
    157,612x = 236,582 × 236,582
  4. Step 4: Simplify right side
    157,612x = 55,971,042,724
  5. Step 5: Solve for x
    x = 55,971,042,724/157,612
  6. Step 6: Final answer
    x = 355,119.17

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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.