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Finding the Third Proportional to 202,305 and 442,708

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Solution

The third proportional to 202,305 and 442,708 is: 968,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,305 : 442,708 = 442,708 : x
  2. Step 2: Convert to fraction form
    202,305/442,708 = 442,708/x
  3. Step 3: Cross multiply
    202,305x = 442,708 × 442,708
  4. Step 4: Simplify right side
    202,305x = 195,990,373,264
  5. Step 5: Solve for x
    x = 195,990,373,264/202,305
  6. Step 6: Final answer
    x = 968,786.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.