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Finding the Third Proportional to 186,672 and 286,920

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Solution

The third proportional to 186,672 and 286,920 is: 441,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,672 : 286,920 = 286,920 : x
  2. Step 2: Convert to fraction form
    186,672/286,920 = 286,920/x
  3. Step 3: Cross multiply
    186,672x = 286,920 × 286,920
  4. Step 4: Simplify right side
    186,672x = 82,323,086,400
  5. Step 5: Solve for x
    x = 82,323,086,400/186,672
  6. Step 6: Final answer
    x = 441,003.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.