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Finding the Third Proportional to 97,424 and 202,506

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Solution

The third proportional to 97,424 and 202,506 is: 420,929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,424 : 202,506 = 202,506 : x
  2. Step 2: Convert to fraction form
    97,424/202,506 = 202,506/x
  3. Step 3: Cross multiply
    97,424x = 202,506 × 202,506
  4. Step 4: Simplify right side
    97,424x = 41,008,680,036
  5. Step 5: Solve for x
    x = 41,008,680,036/97,424
  6. Step 6: Final answer
    x = 420,929.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.