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Finding the Third Proportional to 164,268.13 and 240,165.88

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Solution

The third proportional to 164,268.13 and 240,165.88 is: 351,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,268.13 : 240,165.88 = 240,165.88 : x
  2. Step 2: Convert to fraction form
    164,268.13/240,165.88 = 240,165.88/x
  3. Step 3: Cross multiply
    164,268.13x = 240,165.88 × 240,165.88
  4. Step 4: Simplify right side
    164,268.13x = 57,679,647,514.52
  5. Step 5: Solve for x
    x = 57,679,647,514.52/164,268.13
  6. Step 6: Final answer
    x = 351,131.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.