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Finding the Third Proportional to 186,828 and 386,952

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Solution

The third proportional to 186,828 and 386,952 is: 801,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,828 : 386,952 = 386,952 : x
  2. Step 2: Convert to fraction form
    186,828/386,952 = 386,952/x
  3. Step 3: Cross multiply
    186,828x = 386,952 × 386,952
  4. Step 4: Simplify right side
    186,828x = 149,731,850,304
  5. Step 5: Solve for x
    x = 149,731,850,304/186,828
  6. Step 6: Final answer
    x = 801,442.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.