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Finding the Third Proportional to 230,134 and 503,306

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Solution

The third proportional to 230,134 and 503,306 is: 1,100,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,134 : 503,306 = 503,306 : x
  2. Step 2: Convert to fraction form
    230,134/503,306 = 503,306/x
  3. Step 3: Cross multiply
    230,134x = 503,306 × 503,306
  4. Step 4: Simplify right side
    230,134x = 253,316,929,636
  5. Step 5: Solve for x
    x = 253,316,929,636/230,134
  6. Step 6: Final answer
    x = 1,100,736.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.