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Finding the Third Proportional to 201,426.75 and 272,595.38

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Solution

The third proportional to 201,426.75 and 272,595.38 is: 368,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,426.75 : 272,595.38 = 272,595.38 : x
  2. Step 2: Convert to fraction form
    201,426.75/272,595.38 = 272,595.38/x
  3. Step 3: Cross multiply
    201,426.75x = 272,595.38 × 272,595.38
  4. Step 4: Simplify right side
    201,426.75x = 74,308,238,471.39
  5. Step 5: Solve for x
    x = 74,308,238,471.39/201,426.75
  6. Step 6: Final answer
    x = 368,909.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.