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Finding the Third Proportional to 91,348 and 199,254

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Solution

The third proportional to 91,348 and 199,254 is: 434,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,348 : 199,254 = 199,254 : x
  2. Step 2: Convert to fraction form
    91,348/199,254 = 199,254/x
  3. Step 3: Cross multiply
    91,348x = 199,254 × 199,254
  4. Step 4: Simplify right side
    91,348x = 39,702,156,516
  5. Step 5: Solve for x
    x = 39,702,156,516/91,348
  6. Step 6: Final answer
    x = 434,625.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.