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Finding the Third Proportional to 145,162 and 200,587

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Solution

The third proportional to 145,162 and 200,587 is: 277,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,162 : 200,587 = 200,587 : x
  2. Step 2: Convert to fraction form
    145,162/200,587 = 200,587/x
  3. Step 3: Cross multiply
    145,162x = 200,587 × 200,587
  4. Step 4: Simplify right side
    145,162x = 40,235,144,569
  5. Step 5: Solve for x
    x = 40,235,144,569/145,162
  6. Step 6: Final answer
    x = 277,174.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.