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Finding the Third Proportional to 200,849.63 and 266,555.81

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Solution

The third proportional to 200,849.63 and 266,555.81 is: 353,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,849.63 : 266,555.81 = 266,555.81 : x
  2. Step 2: Convert to fraction form
    200,849.63/266,555.81 = 266,555.81/x
  3. Step 3: Cross multiply
    200,849.63x = 266,555.81 × 266,555.81
  4. Step 4: Simplify right side
    200,849.63x = 71,052,001,177.54
  5. Step 5: Solve for x
    x = 71,052,001,177.54/200,849.63
  6. Step 6: Final answer
    x = 353,757.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.