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Finding the Third Proportional to 185,200.17 and 285,494.63

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Solution

The third proportional to 185,200.17 and 285,494.63 is: 440,103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,200.17 : 285,494.63 = 285,494.63 : x
  2. Step 2: Convert to fraction form
    185,200.17/285,494.63 = 285,494.63/x
  3. Step 3: Cross multiply
    185,200.17x = 285,494.63 × 285,494.63
  4. Step 4: Simplify right side
    185,200.17x = 81,507,180,903.89
  5. Step 5: Solve for x
    x = 81,507,180,903.89/185,200.17
  6. Step 6: Final answer
    x = 440,103.16

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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.