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Finding the Third Proportional to 175,198.50 and 250,534.50

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Solution

The third proportional to 175,198.50 and 250,534.50 is: 358,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,198.50 : 250,534.50 = 250,534.50 : x
  2. Step 2: Convert to fraction form
    175,198.50/250,534.50 = 250,534.50/x
  3. Step 3: Cross multiply
    175,198.50x = 250,534.50 × 250,534.50
  4. Step 4: Simplify right side
    175,198.50x = 62,767,535,690.25
  5. Step 5: Solve for x
    x = 62,767,535,690.25/175,198.50
  6. Step 6: Final answer
    x = 358,265.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.