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Finding the Third Proportional to 155,514 and 240,144

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Solution

The third proportional to 155,514 and 240,144 is: 370,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,514 : 240,144 = 240,144 : x
  2. Step 2: Convert to fraction form
    155,514/240,144 = 240,144/x
  3. Step 3: Cross multiply
    155,514x = 240,144 × 240,144
  4. Step 4: Simplify right side
    155,514x = 57,669,140,736
  5. Step 5: Solve for x
    x = 57,669,140,736/155,514
  6. Step 6: Final answer
    x = 370,829.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.