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Finding the Third Proportional to 172,428 and 256,180

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Solution

The third proportional to 172,428 and 256,180 is: 380,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,428 : 256,180 = 256,180 : x
  2. Step 2: Convert to fraction form
    172,428/256,180 = 256,180/x
  3. Step 3: Cross multiply
    172,428x = 256,180 × 256,180
  4. Step 4: Simplify right side
    172,428x = 65,628,192,400
  5. Step 5: Solve for x
    x = 65,628,192,400/172,428
  6. Step 6: Final answer
    x = 380,612.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.