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Finding the Third Proportional to 241,238 and 527,188

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Solution

The third proportional to 241,238 and 527,188 is: 1,152,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,238 : 527,188 = 527,188 : x
  2. Step 2: Convert to fraction form
    241,238/527,188 = 527,188/x
  3. Step 3: Cross multiply
    241,238x = 527,188 × 527,188
  4. Step 4: Simplify right side
    241,238x = 277,927,187,344
  5. Step 5: Solve for x
    x = 277,927,187,344/241,238
  6. Step 6: Final answer
    x = 1,152,087.10

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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.