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Finding the Third Proportional to 174,981 and 256,275

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Solution

The third proportional to 174,981 and 256,275 is: 375,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,981 : 256,275 = 256,275 : x
  2. Step 2: Convert to fraction form
    174,981/256,275 = 256,275/x
  3. Step 3: Cross multiply
    174,981x = 256,275 × 256,275
  4. Step 4: Simplify right side
    174,981x = 65,676,875,625
  5. Step 5: Solve for x
    x = 65,676,875,625/174,981
  6. Step 6: Final answer
    x = 375,337.18

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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.