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Finding the Third Proportional to 155,262 and 240,481

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Solution

The third proportional to 155,262 and 240,481 is: 372,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,262 : 240,481 = 240,481 : x
  2. Step 2: Convert to fraction form
    155,262/240,481 = 240,481/x
  3. Step 3: Cross multiply
    155,262x = 240,481 × 240,481
  4. Step 4: Simplify right side
    155,262x = 57,831,111,361
  5. Step 5: Solve for x
    x = 57,831,111,361/155,262
  6. Step 6: Final answer
    x = 372,474.34

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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.