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Finding the Third Proportional to 230,826.38 and 354,577.13

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Solution

The third proportional to 230,826.38 and 354,577.13 is: 544,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,826.38 : 354,577.13 = 354,577.13 : x
  2. Step 2: Convert to fraction form
    230,826.38/354,577.13 = 354,577.13/x
  3. Step 3: Cross multiply
    230,826.38x = 354,577.13 × 354,577.13
  4. Step 4: Simplify right side
    230,826.38x = 125,724,937,573.27
  5. Step 5: Solve for x
    x = 125,724,937,573.27/230,826.38
  6. Step 6: Final answer
    x = 544,673.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.