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Finding the Third Proportional to 234,801.75 and 511,521

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Solution

The third proportional to 234,801.75 and 511,521 is: 1,114,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,801.75 : 511,521 = 511,521 : x
  2. Step 2: Convert to fraction form
    234,801.75/511,521 = 511,521/x
  3. Step 3: Cross multiply
    234,801.75x = 511,521 × 511,521
  4. Step 4: Simplify right side
    234,801.75x = 261,653,733,441
  5. Step 5: Solve for x
    x = 261,653,733,441/234,801.75
  6. Step 6: Final answer
    x = 1,114,360.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.