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Finding the Third Proportional to 125,238.66 and 254,851.31

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Solution

The third proportional to 125,238.66 and 254,851.31 is: 518,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,238.66 : 254,851.31 = 254,851.31 : x
  2. Step 2: Convert to fraction form
    125,238.66/254,851.31 = 254,851.31/x
  3. Step 3: Cross multiply
    125,238.66x = 254,851.31 × 254,851.31
  4. Step 4: Simplify right side
    125,238.66x = 64,949,191,482.97
  5. Step 5: Solve for x
    x = 64,949,191,482.97/125,238.66
  6. Step 6: Final answer
    x = 518,603.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.