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Finding the Third Proportional to 235,701.69 and 364,890.88

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Solution

The third proportional to 235,701.69 and 364,890.88 is: 564,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,701.69 : 364,890.88 = 364,890.88 : x
  2. Step 2: Convert to fraction form
    235,701.69/364,890.88 = 364,890.88/x
  3. Step 3: Cross multiply
    235,701.69x = 364,890.88 × 364,890.88
  4. Step 4: Simplify right side
    235,701.69x = 133,145,350,658.27
  5. Step 5: Solve for x
    x = 133,145,350,658.27/235,701.69
  6. Step 6: Final answer
    x = 564,889.26

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Why These Related Problems?

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