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Finding the Third Proportional to 147,628.13 and 229,029.19

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Solution

The third proportional to 147,628.13 and 229,029.19 is: 355,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,628.13 : 229,029.19 = 229,029.19 : x
  2. Step 2: Convert to fraction form
    147,628.13/229,029.19 = 229,029.19/x
  3. Step 3: Cross multiply
    147,628.13x = 229,029.19 × 229,029.19
  4. Step 4: Simplify right side
    147,628.13x = 52,454,368,726.91
  5. Step 5: Solve for x
    x = 52,454,368,726.91/147,628.13
  6. Step 6: Final answer
    x = 355,314.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.