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Finding the Third Proportional to 150,712 and 232,996

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Solution

The third proportional to 150,712 and 232,996 is: 360,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,712 : 232,996 = 232,996 : x
  2. Step 2: Convert to fraction form
    150,712/232,996 = 232,996/x
  3. Step 3: Cross multiply
    150,712x = 232,996 × 232,996
  4. Step 4: Simplify right side
    150,712x = 54,287,136,016
  5. Step 5: Solve for x
    x = 54,287,136,016/150,712
  6. Step 6: Final answer
    x = 360,204.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.