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Finding the Third Proportional to 200,961 and 272,911.50

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Solution

The third proportional to 200,961 and 272,911.50 is: 370,622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,961 : 272,911.50 = 272,911.50 : x
  2. Step 2: Convert to fraction form
    200,961/272,911.50 = 272,911.50/x
  3. Step 3: Cross multiply
    200,961x = 272,911.50 × 272,911.50
  4. Step 4: Simplify right side
    200,961x = 74,480,686,832.25
  5. Step 5: Solve for x
    x = 74,480,686,832.25/200,961
  6. Step 6: Final answer
    x = 370,622.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.