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Finding the Third Proportional to 94,726 and 202,585

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Solution

The third proportional to 94,726 and 202,585 is: 433,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,726 : 202,585 = 202,585 : x
  2. Step 2: Convert to fraction form
    94,726/202,585 = 202,585/x
  3. Step 3: Cross multiply
    94,726x = 202,585 × 202,585
  4. Step 4: Simplify right side
    94,726x = 41,040,682,225
  5. Step 5: Solve for x
    x = 41,040,682,225/94,726
  6. Step 6: Final answer
    x = 433,256.79

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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.