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Finding the Third Proportional to 185,437.13 and 397,117.13

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Solution

The third proportional to 185,437.13 and 397,117.13 is: 850,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,437.13 : 397,117.13 = 397,117.13 : x
  2. Step 2: Convert to fraction form
    185,437.13/397,117.13 = 397,117.13/x
  3. Step 3: Cross multiply
    185,437.13x = 397,117.13 × 397,117.13
  4. Step 4: Simplify right side
    185,437.13x = 157,702,010,968.27
  5. Step 5: Solve for x
    x = 157,702,010,968.27/185,437.13
  6. Step 6: Final answer
    x = 850,433.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.