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Finding the Third Proportional to 232,836.75 and 359,565.75

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Solution

The third proportional to 232,836.75 and 359,565.75 is: 555,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,836.75 : 359,565.75 = 359,565.75 : x
  2. Step 2: Convert to fraction form
    232,836.75/359,565.75 = 359,565.75/x
  3. Step 3: Cross multiply
    232,836.75x = 359,565.75 × 359,565.75
  4. Step 4: Simplify right side
    232,836.75x = 129,287,528,573.06
  5. Step 5: Solve for x
    x = 129,287,528,573.06/232,836.75
  6. Step 6: Final answer
    x = 555,271.14

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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.