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Finding the Third Proportional to 186,427.13 and 286,714.13

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Solution

The third proportional to 186,427.13 and 286,714.13 is: 440,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,427.13 : 286,714.13 = 286,714.13 : x
  2. Step 2: Convert to fraction form
    186,427.13/286,714.13 = 286,714.13/x
  3. Step 3: Cross multiply
    186,427.13x = 286,714.13 × 286,714.13
  4. Step 4: Simplify right side
    186,427.13x = 82,204,989,474.52
  5. Step 5: Solve for x
    x = 82,204,989,474.52/186,427.13
  6. Step 6: Final answer
    x = 440,949.72

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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.