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Finding the Third Proportional to 217,235 and 454,315

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Solution

The third proportional to 217,235 and 454,315 is: 950,132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,235 : 454,315 = 454,315 : x
  2. Step 2: Convert to fraction form
    217,235/454,315 = 454,315/x
  3. Step 3: Cross multiply
    217,235x = 454,315 × 454,315
  4. Step 4: Simplify right side
    217,235x = 206,402,119,225
  5. Step 5: Solve for x
    x = 206,402,119,225/217,235
  6. Step 6: Final answer
    x = 950,132.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.