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Finding the Third Proportional to 158,772.50 and 342,475

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Solution

The third proportional to 158,772.50 and 342,475 is: 738,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,772.50 : 342,475 = 342,475 : x
  2. Step 2: Convert to fraction form
    158,772.50/342,475 = 342,475/x
  3. Step 3: Cross multiply
    158,772.50x = 342,475 × 342,475
  4. Step 4: Simplify right side
    158,772.50x = 117,289,125,625
  5. Step 5: Solve for x
    x = 117,289,125,625/158,772.50
  6. Step 6: Final answer
    x = 738,724.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.