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Finding the Third Proportional to 175,623.19 and 250,960.78

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Solution

The third proportional to 175,623.19 and 250,960.78 is: 358,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,623.19 : 250,960.78 = 250,960.78 : x
  2. Step 2: Convert to fraction form
    175,623.19/250,960.78 = 250,960.78/x
  3. Step 3: Cross multiply
    175,623.19x = 250,960.78 × 250,960.78
  4. Step 4: Simplify right side
    175,623.19x = 62,981,313,725.61
  5. Step 5: Solve for x
    x = 62,981,313,725.61/175,623.19
  6. Step 6: Final answer
    x = 358,616.16

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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.