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Finding the Third Proportional to 165,870 and 250,002

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Solution

The third proportional to 165,870 and 250,002 is: 376,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,870 : 250,002 = 250,002 : x
  2. Step 2: Convert to fraction form
    165,870/250,002 = 250,002/x
  3. Step 3: Cross multiply
    165,870x = 250,002 × 250,002
  4. Step 4: Simplify right side
    165,870x = 62,501,000,004
  5. Step 5: Solve for x
    x = 62,501,000,004/165,870
  6. Step 6: Final answer
    x = 376,807.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.