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Finding the Third Proportional to 221,693 and 459,151

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Solution

The third proportional to 221,693 and 459,151 is: 950,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,693 : 459,151 = 459,151 : x
  2. Step 2: Convert to fraction form
    221,693/459,151 = 459,151/x
  3. Step 3: Cross multiply
    221,693x = 459,151 × 459,151
  4. Step 4: Simplify right side
    221,693x = 210,819,640,801
  5. Step 5: Solve for x
    x = 210,819,640,801/221,693
  6. Step 6: Final answer
    x = 950,953.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.