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Finding the Third Proportional to 150,672 and 227,952

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Solution

The third proportional to 150,672 and 227,952 is: 344,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,672 : 227,952 = 227,952 : x
  2. Step 2: Convert to fraction form
    150,672/227,952 = 227,952/x
  3. Step 3: Cross multiply
    150,672x = 227,952 × 227,952
  4. Step 4: Simplify right side
    150,672x = 51,962,114,304
  5. Step 5: Solve for x
    x = 51,962,114,304/150,672
  6. Step 6: Final answer
    x = 344,869.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.