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Finding the Third Proportional to 144,113.34 and 230,223.52

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Solution

The third proportional to 144,113.34 and 230,223.52 is: 367,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,113.34 : 230,223.52 = 230,223.52 : x
  2. Step 2: Convert to fraction form
    144,113.34/230,223.52 = 230,223.52/x
  3. Step 3: Cross multiply
    144,113.34x = 230,223.52 × 230,223.52
  4. Step 4: Simplify right side
    144,113.34x = 53,002,867,146.73
  5. Step 5: Solve for x
    x = 53,002,867,146.73/144,113.34
  6. Step 6: Final answer
    x = 367,785.98

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.