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Finding the Third Proportional to 133,542 and 310,527

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Solution

The third proportional to 133,542 and 310,527 is: 722,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,542 : 310,527 = 310,527 : x
  2. Step 2: Convert to fraction form
    133,542/310,527 = 310,527/x
  3. Step 3: Cross multiply
    133,542x = 310,527 × 310,527
  4. Step 4: Simplify right side
    133,542x = 96,427,017,729
  5. Step 5: Solve for x
    x = 96,427,017,729/133,542
  6. Step 6: Final answer
    x = 722,072.59

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.