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Finding the Third Proportional to 197,534 and 425,956

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Solution

The third proportional to 197,534 and 425,956 is: 918,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,534 : 425,956 = 425,956 : x
  2. Step 2: Convert to fraction form
    197,534/425,956 = 425,956/x
  3. Step 3: Cross multiply
    197,534x = 425,956 × 425,956
  4. Step 4: Simplify right side
    197,534x = 181,438,513,936
  5. Step 5: Solve for x
    x = 181,438,513,936/197,534
  6. Step 6: Final answer
    x = 918,517.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.