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Finding the Third Proportional to 199,362 and 297,315

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Solution

The third proportional to 199,362 and 297,315 is: 443,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,362 : 297,315 = 297,315 : x
  2. Step 2: Convert to fraction form
    199,362/297,315 = 297,315/x
  3. Step 3: Cross multiply
    199,362x = 297,315 × 297,315
  4. Step 4: Simplify right side
    199,362x = 88,396,209,225
  5. Step 5: Solve for x
    x = 88,396,209,225/199,362
  6. Step 6: Final answer
    x = 443,395.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.