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Finding the Third Proportional to 133,705 and 200,587

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Solution

The third proportional to 133,705 and 200,587 is: 300,924.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,705 : 200,587 = 200,587 : x
  2. Step 2: Convert to fraction form
    133,705/200,587 = 200,587/x
  3. Step 3: Cross multiply
    133,705x = 200,587 × 200,587
  4. Step 4: Simplify right side
    133,705x = 40,235,144,569
  5. Step 5: Solve for x
    x = 40,235,144,569/133,705
  6. Step 6: Final answer
    x = 300,924.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.