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Finding the Third Proportional to 142,948.13 and 229,879.69

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Solution

The third proportional to 142,948.13 and 229,879.69 is: 369,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,948.13 : 229,879.69 = 229,879.69 : x
  2. Step 2: Convert to fraction form
    142,948.13/229,879.69 = 229,879.69/x
  3. Step 3: Cross multiply
    142,948.13x = 229,879.69 × 229,879.69
  4. Step 4: Simplify right side
    142,948.13x = 52,844,670,725.10
  5. Step 5: Solve for x
    x = 52,844,670,725.10/142,948.13
  6. Step 6: Final answer
    x = 369,677.26

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.