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Finding the Third Proportional to 97,674 and 200,526

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Solution

The third proportional to 97,674 and 200,526 is: 411,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,674 : 200,526 = 200,526 : x
  2. Step 2: Convert to fraction form
    97,674/200,526 = 200,526/x
  3. Step 3: Cross multiply
    97,674x = 200,526 × 200,526
  4. Step 4: Simplify right side
    97,674x = 40,210,676,676
  5. Step 5: Solve for x
    x = 40,210,676,676/97,674
  6. Step 6: Final answer
    x = 411,682.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.