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Finding the Third Proportional to 157,596.75 and 241,013.25

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Solution

The third proportional to 157,596.75 and 241,013.25 is: 368,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,596.75 : 241,013.25 = 241,013.25 : x
  2. Step 2: Convert to fraction form
    157,596.75/241,013.25 = 241,013.25/x
  3. Step 3: Cross multiply
    157,596.75x = 241,013.25 × 241,013.25
  4. Step 4: Simplify right side
    157,596.75x = 58,087,386,675.56
  5. Step 5: Solve for x
    x = 58,087,386,675.56/157,596.75
  6. Step 6: Final answer
    x = 368,582.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.