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Finding the Third Proportional to 182,857.50 and 291,994.88

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Solution

The third proportional to 182,857.50 and 291,994.88 is: 466,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,857.50 : 291,994.88 = 291,994.88 : x
  2. Step 2: Convert to fraction form
    182,857.50/291,994.88 = 291,994.88/x
  3. Step 3: Cross multiply
    182,857.50x = 291,994.88 × 291,994.88
  4. Step 4: Simplify right side
    182,857.50x = 85,261,007,026.27
  5. Step 5: Solve for x
    x = 85,261,007,026.27/182,857.50
  6. Step 6: Final answer
    x = 466,270.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.