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Finding the Third Proportional to 256,164.19 and 382,165.59

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Solution

The third proportional to 256,164.19 and 382,165.59 is: 570,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,164.19 : 382,165.59 = 382,165.59 : x
  2. Step 2: Convert to fraction form
    256,164.19/382,165.59 = 382,165.59/x
  3. Step 3: Cross multiply
    256,164.19x = 382,165.59 × 382,165.59
  4. Step 4: Simplify right side
    256,164.19x = 146,050,541,046.29
  5. Step 5: Solve for x
    x = 146,050,541,046.29/256,164.19
  6. Step 6: Final answer
    x = 570,144.26

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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.