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Finding the Third Proportional to 256,340.25 and 552,124

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Solution

The third proportional to 256,340.25 and 552,124 is: 1,189,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,340.25 : 552,124 = 552,124 : x
  2. Step 2: Convert to fraction form
    256,340.25/552,124 = 552,124/x
  3. Step 3: Cross multiply
    256,340.25x = 552,124 × 552,124
  4. Step 4: Simplify right side
    256,340.25x = 304,840,911,376
  5. Step 5: Solve for x
    x = 304,840,911,376/256,340.25
  6. Step 6: Final answer
    x = 1,189,204.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.