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Finding the Third Proportional to 189,877.50 and 413,775

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Solution

The third proportional to 189,877.50 and 413,775 is: 901,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,877.50 : 413,775 = 413,775 : x
  2. Step 2: Convert to fraction form
    189,877.50/413,775 = 413,775/x
  3. Step 3: Cross multiply
    189,877.50x = 413,775 × 413,775
  4. Step 4: Simplify right side
    189,877.50x = 171,209,750,625
  5. Step 5: Solve for x
    x = 171,209,750,625/189,877.50
  6. Step 6: Final answer
    x = 901,685.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.