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Finding the Third Proportional to 94,734 and 202,598

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Solution

The third proportional to 94,734 and 202,598 is: 433,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,734 : 202,598 = 202,598 : x
  2. Step 2: Convert to fraction form
    94,734/202,598 = 202,598/x
  3. Step 3: Cross multiply
    94,734x = 202,598 × 202,598
  4. Step 4: Simplify right side
    94,734x = 41,045,949,604
  5. Step 5: Solve for x
    x = 41,045,949,604/94,734
  6. Step 6: Final answer
    x = 433,275.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.