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Finding the Third Proportional to 234,114.75 and 511,569

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Solution

The third proportional to 234,114.75 and 511,569 is: 1,117,840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,114.75 : 511,569 = 511,569 : x
  2. Step 2: Convert to fraction form
    234,114.75/511,569 = 511,569/x
  3. Step 3: Cross multiply
    234,114.75x = 511,569 × 511,569
  4. Step 4: Simplify right side
    234,114.75x = 261,702,841,761
  5. Step 5: Solve for x
    x = 261,702,841,761/234,114.75
  6. Step 6: Final answer
    x = 1,117,840.04

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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.