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Finding the Third Proportional to 256,154.06 and 382,151.25

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Solution

The third proportional to 256,154.06 and 382,151.25 is: 570,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,154.06 : 382,151.25 = 382,151.25 : x
  2. Step 2: Convert to fraction form
    256,154.06/382,151.25 = 382,151.25/x
  3. Step 3: Cross multiply
    256,154.06x = 382,151.25 × 382,151.25
  4. Step 4: Simplify right side
    256,154.06x = 146,039,577,876.56
  5. Step 5: Solve for x
    x = 146,039,577,876.56/256,154.06
  6. Step 6: Final answer
    x = 570,124.00

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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.