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Finding the Third Proportional to 191,288.25 and 281,098.69

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Solution

The third proportional to 191,288.25 and 281,098.69 is: 413,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,288.25 : 281,098.69 = 281,098.69 : x
  2. Step 2: Convert to fraction form
    191,288.25/281,098.69 = 281,098.69/x
  3. Step 3: Cross multiply
    191,288.25x = 281,098.69 × 281,098.69
  4. Step 4: Simplify right side
    191,288.25x = 79,016,472,114.22
  5. Step 5: Solve for x
    x = 79,016,472,114.22/191,288.25
  6. Step 6: Final answer
    x = 413,075.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.