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Finding the Third Proportional to 197,505 and 418,581

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Solution

The third proportional to 197,505 and 418,581 is: 887,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,505 : 418,581 = 418,581 : x
  2. Step 2: Convert to fraction form
    197,505/418,581 = 418,581/x
  3. Step 3: Cross multiply
    197,505x = 418,581 × 418,581
  4. Step 4: Simplify right side
    197,505x = 175,210,053,561
  5. Step 5: Solve for x
    x = 175,210,053,561/197,505
  6. Step 6: Final answer
    x = 887,117.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.