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Finding the Third Proportional to 104,310 and 225,248

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Solution

The third proportional to 104,310 and 225,248 is: 486,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,310 : 225,248 = 225,248 : x
  2. Step 2: Convert to fraction form
    104,310/225,248 = 225,248/x
  3. Step 3: Cross multiply
    104,310x = 225,248 × 225,248
  4. Step 4: Simplify right side
    104,310x = 50,736,661,504
  5. Step 5: Solve for x
    x = 50,736,661,504/104,310
  6. Step 6: Final answer
    x = 486,402.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.