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Finding the Third Proportional to 229,422 and 503,165

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Solution

The third proportional to 229,422 and 503,165 is: 1,103,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,422 : 503,165 = 503,165 : x
  2. Step 2: Convert to fraction form
    229,422/503,165 = 503,165/x
  3. Step 3: Cross multiply
    229,422x = 503,165 × 503,165
  4. Step 4: Simplify right side
    229,422x = 253,175,017,225
  5. Step 5: Solve for x
    x = 253,175,017,225/229,422
  6. Step 6: Final answer
    x = 1,103,534.17

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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.