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Finding the Third Proportional to 186,000 and 413,328

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Solution

The third proportional to 186,000 and 413,328 is: 918,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,000 : 413,328 = 413,328 : x
  2. Step 2: Convert to fraction form
    186,000/413,328 = 413,328/x
  3. Step 3: Cross multiply
    186,000x = 413,328 × 413,328
  4. Step 4: Simplify right side
    186,000x = 170,840,035,584
  5. Step 5: Solve for x
    x = 170,840,035,584/186,000
  6. Step 6: Final answer
    x = 918,494.81

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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.