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Finding the Third Proportional to 94,318 and 202,681

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Solution

The third proportional to 94,318 and 202,681 is: 435,543.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,318 : 202,681 = 202,681 : x
  2. Step 2: Convert to fraction form
    94,318/202,681 = 202,681/x
  3. Step 3: Cross multiply
    94,318x = 202,681 × 202,681
  4. Step 4: Simplify right side
    94,318x = 41,079,587,761
  5. Step 5: Solve for x
    x = 41,079,587,761/94,318
  6. Step 6: Final answer
    x = 435,543.46

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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.