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Finding the Third Proportional to 157,856 and 240,723

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Solution

The third proportional to 157,856 and 240,723 is: 367,091.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,856 : 240,723 = 240,723 : x
  2. Step 2: Convert to fraction form
    157,856/240,723 = 240,723/x
  3. Step 3: Cross multiply
    157,856x = 240,723 × 240,723
  4. Step 4: Simplify right side
    157,856x = 57,947,562,729
  5. Step 5: Solve for x
    x = 57,947,562,729/157,856
  6. Step 6: Final answer
    x = 367,091.29

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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.