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Finding the Third Proportional to 199,215 and 296,001

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Solution

The third proportional to 199,215 and 296,001 is: 439,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,215 : 296,001 = 296,001 : x
  2. Step 2: Convert to fraction form
    199,215/296,001 = 296,001/x
  3. Step 3: Cross multiply
    199,215x = 296,001 × 296,001
  4. Step 4: Simplify right side
    199,215x = 87,616,592,001
  5. Step 5: Solve for x
    x = 87,616,592,001/199,215
  6. Step 6: Final answer
    x = 439,809.21

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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.