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Finding the Third Proportional to 234,984 and 357,993

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Solution

The third proportional to 234,984 and 357,993 is: 545,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,984 : 357,993 = 357,993 : x
  2. Step 2: Convert to fraction form
    234,984/357,993 = 357,993/x
  3. Step 3: Cross multiply
    234,984x = 357,993 × 357,993
  4. Step 4: Simplify right side
    234,984x = 128,158,988,049
  5. Step 5: Solve for x
    x = 128,158,988,049/234,984
  6. Step 6: Final answer
    x = 545,394.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.