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Finding the Third Proportional to 97,348 and 198,224

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Solution

The third proportional to 97,348 and 198,224 is: 403,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,348 : 198,224 = 198,224 : x
  2. Step 2: Convert to fraction form
    97,348/198,224 = 198,224/x
  3. Step 3: Cross multiply
    97,348x = 198,224 × 198,224
  4. Step 4: Simplify right side
    97,348x = 39,292,754,176
  5. Step 5: Solve for x
    x = 39,292,754,176/97,348
  6. Step 6: Final answer
    x = 403,631.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.