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Finding the Third Proportional to 145,272 and 200,040

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Solution

The third proportional to 145,272 and 200,040 is: 275,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,272 : 200,040 = 200,040 : x
  2. Step 2: Convert to fraction form
    145,272/200,040 = 200,040/x
  3. Step 3: Cross multiply
    145,272x = 200,040 × 200,040
  4. Step 4: Simplify right side
    145,272x = 40,016,001,600
  5. Step 5: Solve for x
    x = 40,016,001,600/145,272
  6. Step 6: Final answer
    x = 275,455.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.