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Finding the Third Proportional to 182,096.25 and 285,655.13

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Solution

The third proportional to 182,096.25 and 285,655.13 is: 448,108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,096.25 : 285,655.13 = 285,655.13 : x
  2. Step 2: Convert to fraction form
    182,096.25/285,655.13 = 285,655.13/x
  3. Step 3: Cross multiply
    182,096.25x = 285,655.13 × 285,655.13
  4. Step 4: Simplify right side
    182,096.25x = 81,598,850,438.77
  5. Step 5: Solve for x
    x = 81,598,850,438.77/182,096.25
  6. Step 6: Final answer
    x = 448,108.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.