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Finding the Third Proportional to 187,808.63 and 286,360.31

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Solution

The third proportional to 187,808.63 and 286,360.31 is: 436,626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,808.63 : 286,360.31 = 286,360.31 : x
  2. Step 2: Convert to fraction form
    187,808.63/286,360.31 = 286,360.31/x
  3. Step 3: Cross multiply
    187,808.63x = 286,360.31 × 286,360.31
  4. Step 4: Simplify right side
    187,808.63x = 82,002,228,575.10
  5. Step 5: Solve for x
    x = 82,002,228,575.10/187,808.63
  6. Step 6: Final answer
    x = 436,626.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.