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Finding the Third Proportional to 150,848 and 229,472

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Solution

The third proportional to 150,848 and 229,472 is: 349,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,848 : 229,472 = 229,472 : x
  2. Step 2: Convert to fraction form
    150,848/229,472 = 229,472/x
  3. Step 3: Cross multiply
    150,848x = 229,472 × 229,472
  4. Step 4: Simplify right side
    150,848x = 52,657,398,784
  5. Step 5: Solve for x
    x = 52,657,398,784/150,848
  6. Step 6: Final answer
    x = 349,075.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.