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Finding the Third Proportional to 202,585 and 294,993

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Solution

The third proportional to 202,585 and 294,993 is: 429,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,585 : 294,993 = 294,993 : x
  2. Step 2: Convert to fraction form
    202,585/294,993 = 294,993/x
  3. Step 3: Cross multiply
    202,585x = 294,993 × 294,993
  4. Step 4: Simplify right side
    202,585x = 87,020,870,049
  5. Step 5: Solve for x
    x = 87,020,870,049/202,585
  6. Step 6: Final answer
    x = 429,552.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.