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Finding the Third Proportional to 254,036.25 and 365,139.14

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Solution

The third proportional to 254,036.25 and 365,139.14 is: 524,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,036.25 : 365,139.14 = 365,139.14 : x
  2. Step 2: Convert to fraction form
    254,036.25/365,139.14 = 365,139.14/x
  3. Step 3: Cross multiply
    254,036.25x = 365,139.14 × 365,139.14
  4. Step 4: Simplify right side
    254,036.25x = 133,326,592,016.36
  5. Step 5: Solve for x
    x = 133,326,592,016.36/254,036.25
  6. Step 6: Final answer
    x = 524,832.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.