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Finding the Third Proportional to 161,792 and 236,532

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Solution

The third proportional to 161,792 and 236,532 is: 345,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,792 : 236,532 = 236,532 : x
  2. Step 2: Convert to fraction form
    161,792/236,532 = 236,532/x
  3. Step 3: Cross multiply
    161,792x = 236,532 × 236,532
  4. Step 4: Simplify right side
    161,792x = 55,947,387,024
  5. Step 5: Solve for x
    x = 55,947,387,024/161,792
  6. Step 6: Final answer
    x = 345,798.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.