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Finding the Third Proportional to 158,001.75 and 338,145.75

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Solution

The third proportional to 158,001.75 and 338,145.75 is: 723,679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,001.75 : 338,145.75 = 338,145.75 : x
  2. Step 2: Convert to fraction form
    158,001.75/338,145.75 = 338,145.75/x
  3. Step 3: Cross multiply
    158,001.75x = 338,145.75 × 338,145.75
  4. Step 4: Simplify right side
    158,001.75x = 114,342,548,243.06
  5. Step 5: Solve for x
    x = 114,342,548,243.06/158,001.75
  6. Step 6: Final answer
    x = 723,679.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.