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Finding the Third Proportional to 175,338 and 250,715.25

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Solution

The third proportional to 175,338 and 250,715.25 is: 358,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,338 : 250,715.25 = 250,715.25 : x
  2. Step 2: Convert to fraction form
    175,338/250,715.25 = 250,715.25/x
  3. Step 3: Cross multiply
    175,338x = 250,715.25 × 250,715.25
  4. Step 4: Simplify right side
    175,338x = 62,858,136,582.56
  5. Step 5: Solve for x
    x = 62,858,136,582.56/175,338
  6. Step 6: Final answer
    x = 358,496.94

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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.