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Finding the Third Proportional to 200,911.50 and 272,862

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Solution

The third proportional to 200,911.50 and 272,862 is: 370,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,911.50 : 272,862 = 272,862 : x
  2. Step 2: Convert to fraction form
    200,911.50/272,862 = 272,862/x
  3. Step 3: Cross multiply
    200,911.50x = 272,862 × 272,862
  4. Step 4: Simplify right side
    200,911.50x = 74,453,671,044
  5. Step 5: Solve for x
    x = 74,453,671,044/200,911.50
  6. Step 6: Final answer
    x = 370,579.44

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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.