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Finding the Third Proportional to 200,913 and 272,866.50

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Solution

The third proportional to 200,913 and 272,866.50 is: 370,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,913 : 272,866.50 = 272,866.50 : x
  2. Step 2: Convert to fraction form
    200,913/272,866.50 = 272,866.50/x
  3. Step 3: Cross multiply
    200,913x = 272,866.50 × 272,866.50
  4. Step 4: Simplify right side
    200,913x = 74,456,126,822.25
  5. Step 5: Solve for x
    x = 74,456,126,822.25/200,913
  6. Step 6: Final answer
    x = 370,588.90

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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.