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Finding the Third Proportional to 157,854 and 240,720

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Solution

The third proportional to 157,854 and 240,720 is: 367,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,854 : 240,720 = 240,720 : x
  2. Step 2: Convert to fraction form
    157,854/240,720 = 240,720/x
  3. Step 3: Cross multiply
    157,854x = 240,720 × 240,720
  4. Step 4: Simplify right side
    157,854x = 57,946,118,400
  5. Step 5: Solve for x
    x = 57,946,118,400/157,854
  6. Step 6: Final answer
    x = 367,086.79

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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.