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Finding the Third Proportional to 186,480 and 286,797

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Solution

The third proportional to 186,480 and 286,797 is: 441,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,480 : 286,797 = 286,797 : x
  2. Step 2: Convert to fraction form
    186,480/286,797 = 286,797/x
  3. Step 3: Cross multiply
    186,480x = 286,797 × 286,797
  4. Step 4: Simplify right side
    186,480x = 82,252,519,209
  5. Step 5: Solve for x
    x = 82,252,519,209/186,480
  6. Step 6: Final answer
    x = 441,079.58

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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.