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Finding the Third Proportional to 175,378.50 and 250,805.25

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Solution

The third proportional to 175,378.50 and 250,805.25 is: 358,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,378.50 : 250,805.25 = 250,805.25 : x
  2. Step 2: Convert to fraction form
    175,378.50/250,805.25 = 250,805.25/x
  3. Step 3: Cross multiply
    175,378.50x = 250,805.25 × 250,805.25
  4. Step 4: Simplify right side
    175,378.50x = 62,903,273,427.56
  5. Step 5: Solve for x
    x = 62,903,273,427.56/175,378.50
  6. Step 6: Final answer
    x = 358,671.52

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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.