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Finding the Third Proportional to 197,102 and 423,724

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Solution

The third proportional to 197,102 and 423,724 is: 910,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,102 : 423,724 = 423,724 : x
  2. Step 2: Convert to fraction form
    197,102/423,724 = 423,724/x
  3. Step 3: Cross multiply
    197,102x = 423,724 × 423,724
  4. Step 4: Simplify right side
    197,102x = 179,542,028,176
  5. Step 5: Solve for x
    x = 179,542,028,176/197,102
  6. Step 6: Final answer
    x = 910,909.22

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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.