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Finding the Third Proportional to 202,248 and 305,910

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Solution

The third proportional to 202,248 and 305,910 is: 462,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,248 : 305,910 = 305,910 : x
  2. Step 2: Convert to fraction form
    202,248/305,910 = 305,910/x
  3. Step 3: Cross multiply
    202,248x = 305,910 × 305,910
  4. Step 4: Simplify right side
    202,248x = 93,580,928,100
  5. Step 5: Solve for x
    x = 93,580,928,100/202,248
  6. Step 6: Final answer
    x = 462,703.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.