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Finding the Third Proportional to 157,858 and 240,729

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Solution

The third proportional to 157,858 and 240,729 is: 367,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,858 : 240,729 = 240,729 : x
  2. Step 2: Convert to fraction form
    157,858/240,729 = 240,729/x
  3. Step 3: Cross multiply
    157,858x = 240,729 × 240,729
  4. Step 4: Simplify right side
    157,858x = 57,950,451,441
  5. Step 5: Solve for x
    x = 57,950,451,441/157,858
  6. Step 6: Final answer
    x = 367,104.94

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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.