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Finding the Third Proportional to 186,930 and 412,524

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Solution

The third proportional to 186,930 and 412,524 is: 910,373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,930 : 412,524 = 412,524 : x
  2. Step 2: Convert to fraction form
    186,930/412,524 = 412,524/x
  3. Step 3: Cross multiply
    186,930x = 412,524 × 412,524
  4. Step 4: Simplify right side
    186,930x = 170,176,050,576
  5. Step 5: Solve for x
    x = 170,176,050,576/186,930
  6. Step 6: Final answer
    x = 910,373.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.