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Finding the Third Proportional to 200,744.16 and 295,570.27

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Solution

The third proportional to 200,744.16 and 295,570.27 is: 435,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744.16 : 295,570.27 = 295,570.27 : x
  2. Step 2: Convert to fraction form
    200,744.16/295,570.27 = 295,570.27/x
  3. Step 3: Cross multiply
    200,744.16x = 295,570.27 × 295,570.27
  4. Step 4: Simplify right side
    200,744.16x = 87,361,781,921.63
  5. Step 5: Solve for x
    x = 87,361,781,921.63/200,744.16
  6. Step 6: Final answer
    x = 435,189.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.