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Finding the Third Proportional to 172,836 and 282,224

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Solution

The third proportional to 172,836 and 282,224 is: 460,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,836 : 282,224 = 282,224 : x
  2. Step 2: Convert to fraction form
    172,836/282,224 = 282,224/x
  3. Step 3: Cross multiply
    172,836x = 282,224 × 282,224
  4. Step 4: Simplify right side
    172,836x = 79,650,386,176
  5. Step 5: Solve for x
    x = 79,650,386,176/172,836
  6. Step 6: Final answer
    x = 460,843.73

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.