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Finding the Third Proportional to 126,608 and 200,482

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Solution

The third proportional to 126,608 and 200,482 is: 317,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,608 : 200,482 = 200,482 : x
  2. Step 2: Convert to fraction form
    126,608/200,482 = 200,482/x
  3. Step 3: Cross multiply
    126,608x = 200,482 × 200,482
  4. Step 4: Simplify right side
    126,608x = 40,193,032,324
  5. Step 5: Solve for x
    x = 40,193,032,324/126,608
  6. Step 6: Final answer
    x = 317,460.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.