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Finding the Third Proportional to 230,142 and 503,322

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Solution

The third proportional to 230,142 and 503,322 is: 1,100,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,142 : 503,322 = 503,322 : x
  2. Step 2: Convert to fraction form
    230,142/503,322 = 503,322/x
  3. Step 3: Cross multiply
    230,142x = 503,322 × 503,322
  4. Step 4: Simplify right side
    230,142x = 253,333,035,684
  5. Step 5: Solve for x
    x = 253,333,035,684/230,142
  6. Step 6: Final answer
    x = 1,100,768.38

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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.