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Finding the Third Proportional to 191,892 and 287,862

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Solution

The third proportional to 191,892 and 287,862 is: 431,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,892 : 287,862 = 287,862 : x
  2. Step 2: Convert to fraction form
    191,892/287,862 = 287,862/x
  3. Step 3: Cross multiply
    191,892x = 287,862 × 287,862
  4. Step 4: Simplify right side
    191,892x = 82,864,531,044
  5. Step 5: Solve for x
    x = 82,864,531,044/191,892
  6. Step 6: Final answer
    x = 431,829.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.