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Finding the Third Proportional to 114,062.25 and 235,351.50

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Solution

The third proportional to 114,062.25 and 235,351.50 is: 485,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,062.25 : 235,351.50 = 235,351.50 : x
  2. Step 2: Convert to fraction form
    114,062.25/235,351.50 = 235,351.50/x
  3. Step 3: Cross multiply
    114,062.25x = 235,351.50 × 235,351.50
  4. Step 4: Simplify right side
    114,062.25x = 55,390,328,552.25
  5. Step 5: Solve for x
    x = 55,390,328,552.25/114,062.25
  6. Step 6: Final answer
    x = 485,614.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.