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Finding the Third Proportional to 186,002 and 413,332

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Solution

The third proportional to 186,002 and 413,332 is: 918,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,002 : 413,332 = 413,332 : x
  2. Step 2: Convert to fraction form
    186,002/413,332 = 413,332/x
  3. Step 3: Cross multiply
    186,002x = 413,332 × 413,332
  4. Step 4: Simplify right side
    186,002x = 170,843,342,224
  5. Step 5: Solve for x
    x = 170,843,342,224/186,002
  6. Step 6: Final answer
    x = 918,502.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.