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Finding the Third Proportional to 155,537 and 321,442

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Solution

The third proportional to 155,537 and 321,442 is: 664,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,537 : 321,442 = 321,442 : x
  2. Step 2: Convert to fraction form
    155,537/321,442 = 321,442/x
  3. Step 3: Cross multiply
    155,537x = 321,442 × 321,442
  4. Step 4: Simplify right side
    155,537x = 103,324,959,364
  5. Step 5: Solve for x
    x = 103,324,959,364/155,537
  6. Step 6: Final answer
    x = 664,311.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.