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Finding the Third Proportional to 203,486.13 and 442,002.13

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Solution

The third proportional to 203,486.13 and 442,002.13 is: 960,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,486.13 : 442,002.13 = 442,002.13 : x
  2. Step 2: Convert to fraction form
    203,486.13/442,002.13 = 442,002.13/x
  3. Step 3: Cross multiply
    203,486.13x = 442,002.13 × 442,002.13
  4. Step 4: Simplify right side
    203,486.13x = 195,365,878,504.52
  5. Step 5: Solve for x
    x = 195,365,878,504.52/203,486.13
  6. Step 6: Final answer
    x = 960,094.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.