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Finding the Third Proportional to 182,614.88 and 400,256.25

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Solution

The third proportional to 182,614.88 and 400,256.25 is: 877,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,614.88 : 400,256.25 = 400,256.25 : x
  2. Step 2: Convert to fraction form
    182,614.88/400,256.25 = 400,256.25/x
  3. Step 3: Cross multiply
    182,614.88x = 400,256.25 × 400,256.25
  4. Step 4: Simplify right side
    182,614.88x = 160,205,065,664.06
  5. Step 5: Solve for x
    x = 160,205,065,664.06/182,614.88
  6. Step 6: Final answer
    x = 877,283.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.