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Finding the Third Proportional to 197,535 and 425,031

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Solution

The third proportional to 197,535 and 425,031 is: 914,528.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,535 : 425,031 = 425,031 : x
  2. Step 2: Convert to fraction form
    197,535/425,031 = 425,031/x
  3. Step 3: Cross multiply
    197,535x = 425,031 × 425,031
  4. Step 4: Simplify right side
    197,535x = 180,651,350,961
  5. Step 5: Solve for x
    x = 180,651,350,961/197,535
  6. Step 6: Final answer
    x = 914,528.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.