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Finding the Third Proportional to 232,196.63 and 354,947.06

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Solution

The third proportional to 232,196.63 and 354,947.06 is: 542,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,196.63 : 354,947.06 = 354,947.06 : x
  2. Step 2: Convert to fraction form
    232,196.63/354,947.06 = 354,947.06/x
  3. Step 3: Cross multiply
    232,196.63x = 354,947.06 × 354,947.06
  4. Step 4: Simplify right side
    232,196.63x = 125,987,417,177.38
  5. Step 5: Solve for x
    x = 125,987,417,177.38/232,196.63
  6. Step 6: Final answer
    x = 542,589.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.