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Finding the Third Proportional to 132,312 and 198,496

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Solution

The third proportional to 132,312 and 198,496 is: 297,786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,312 : 198,496 = 198,496 : x
  2. Step 2: Convert to fraction form
    132,312/198,496 = 198,496/x
  3. Step 3: Cross multiply
    132,312x = 198,496 × 198,496
  4. Step 4: Simplify right side
    132,312x = 39,400,662,016
  5. Step 5: Solve for x
    x = 39,400,662,016/132,312
  6. Step 6: Final answer
    x = 297,786.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.