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Finding the Third Proportional to 235,456.50 and 342,244.50

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Solution

The third proportional to 235,456.50 and 342,244.50 is: 497,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,456.50 : 342,244.50 = 342,244.50 : x
  2. Step 2: Convert to fraction form
    235,456.50/342,244.50 = 342,244.50/x
  3. Step 3: Cross multiply
    235,456.50x = 342,244.50 × 342,244.50
  4. Step 4: Simplify right side
    235,456.50x = 117,131,297,780.25
  5. Step 5: Solve for x
    x = 117,131,297,780.25/235,456.50
  6. Step 6: Final answer
    x = 497,464.70

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Why These Related Problems?

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