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Finding the Third Proportional to 94,718 and 202,569

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Solution

The third proportional to 94,718 and 202,569 is: 433,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,718 : 202,569 = 202,569 : x
  2. Step 2: Convert to fraction form
    94,718/202,569 = 202,569/x
  3. Step 3: Cross multiply
    94,718x = 202,569 × 202,569
  4. Step 4: Simplify right side
    94,718x = 41,034,199,761
  5. Step 5: Solve for x
    x = 41,034,199,761/94,718
  6. Step 6: Final answer
    x = 433,224.94

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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.