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Finding the Third Proportional to 158,050 and 240,147

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Solution

The third proportional to 158,050 and 240,147 is: 364,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,050 : 240,147 = 240,147 : x
  2. Step 2: Convert to fraction form
    158,050/240,147 = 240,147/x
  3. Step 3: Cross multiply
    158,050x = 240,147 × 240,147
  4. Step 4: Simplify right side
    158,050x = 57,670,581,609
  5. Step 5: Solve for x
    x = 57,670,581,609/158,050
  6. Step 6: Final answer
    x = 364,888.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.