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Finding the Third Proportional to 155,268 and 240,510

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Solution

The third proportional to 155,268 and 240,510 is: 372,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,268 : 240,510 = 240,510 : x
  2. Step 2: Convert to fraction form
    155,268/240,510 = 240,510/x
  3. Step 3: Cross multiply
    155,268x = 240,510 × 240,510
  4. Step 4: Simplify right side
    155,268x = 57,845,060,100
  5. Step 5: Solve for x
    x = 57,845,060,100/155,268
  6. Step 6: Final answer
    x = 372,549.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.