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Finding the Third Proportional to 235,387.69 and 342,145.69

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Solution

The third proportional to 235,387.69 and 342,145.69 is: 497,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,387.69 : 342,145.69 = 342,145.69 : x
  2. Step 2: Convert to fraction form
    235,387.69/342,145.69 = 342,145.69/x
  3. Step 3: Cross multiply
    235,387.69x = 342,145.69 × 342,145.69
  4. Step 4: Simplify right side
    235,387.69x = 117,063,671,474.85
  5. Step 5: Solve for x
    x = 117,063,671,474.85/235,387.69
  6. Step 6: Final answer
    x = 497,322.83

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.