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Finding the Third Proportional to 151,857 and 333,472

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Solution

The third proportional to 151,857 and 333,472 is: 732,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,857 : 333,472 = 333,472 : x
  2. Step 2: Convert to fraction form
    151,857/333,472 = 333,472/x
  3. Step 3: Cross multiply
    151,857x = 333,472 × 333,472
  4. Step 4: Simplify right side
    151,857x = 111,203,574,784
  5. Step 5: Solve for x
    x = 111,203,574,784/151,857
  6. Step 6: Final answer
    x = 732,291.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.