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Finding the Third Proportional to 207,195 and 292,455

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Solution

The third proportional to 207,195 and 292,455 is: 412,799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,195 : 292,455 = 292,455 : x
  2. Step 2: Convert to fraction form
    207,195/292,455 = 292,455/x
  3. Step 3: Cross multiply
    207,195x = 292,455 × 292,455
  4. Step 4: Simplify right side
    207,195x = 85,529,927,025
  5. Step 5: Solve for x
    x = 85,529,927,025/207,195
  6. Step 6: Final answer
    x = 412,799.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.