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Finding the Third Proportional to 111,225.75 and 239,948.25

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Solution

The third proportional to 111,225.75 and 239,948.25 is: 517,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,225.75 : 239,948.25 = 239,948.25 : x
  2. Step 2: Convert to fraction form
    111,225.75/239,948.25 = 239,948.25/x
  3. Step 3: Cross multiply
    111,225.75x = 239,948.25 × 239,948.25
  4. Step 4: Simplify right side
    111,225.75x = 57,575,162,678.06
  5. Step 5: Solve for x
    x = 57,575,162,678.06/111,225.75
  6. Step 6: Final answer
    x = 517,642.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.