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Finding the Third Proportional to 133,072 and 288,527

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Solution

The third proportional to 133,072 and 288,527 is: 625,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,072 : 288,527 = 288,527 : x
  2. Step 2: Convert to fraction form
    133,072/288,527 = 288,527/x
  3. Step 3: Cross multiply
    133,072x = 288,527 × 288,527
  4. Step 4: Simplify right side
    133,072x = 83,247,829,729
  5. Step 5: Solve for x
    x = 83,247,829,729/133,072
  6. Step 6: Final answer
    x = 625,584.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.