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Finding the Third Proportional to 197,496 and 297,988.50

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Solution

The third proportional to 197,496 and 297,988.50 is: 449,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,496 : 297,988.50 = 297,988.50 : x
  2. Step 2: Convert to fraction form
    197,496/297,988.50 = 297,988.50/x
  3. Step 3: Cross multiply
    197,496x = 297,988.50 × 297,988.50
  4. Step 4: Simplify right side
    197,496x = 88,797,146,132.25
  5. Step 5: Solve for x
    x = 88,797,146,132.25/197,496
  6. Step 6: Final answer
    x = 449,614.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.