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Finding the Third Proportional to 175,496.50 and 256,663

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Solution

The third proportional to 175,496.50 and 256,663 is: 375,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,496.50 : 256,663 = 256,663 : x
  2. Step 2: Convert to fraction form
    175,496.50/256,663 = 256,663/x
  3. Step 3: Cross multiply
    175,496.50x = 256,663 × 256,663
  4. Step 4: Simplify right side
    175,496.50x = 65,875,895,569
  5. Step 5: Solve for x
    x = 65,875,895,569/175,496.50
  6. Step 6: Final answer
    x = 375,368.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.