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Finding the Third Proportional to 191,065 and 404,886.50

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Solution

The third proportional to 191,065 and 404,886.50 is: 857,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,065 : 404,886.50 = 404,886.50 : x
  2. Step 2: Convert to fraction form
    191,065/404,886.50 = 404,886.50/x
  3. Step 3: Cross multiply
    191,065x = 404,886.50 × 404,886.50
  4. Step 4: Simplify right side
    191,065x = 163,933,077,882.25
  5. Step 5: Solve for x
    x = 163,933,077,882.25/191,065
  6. Step 6: Final answer
    x = 857,996.38

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.