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Finding the Third Proportional to 1,158.68 and 1,698.15

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Solution

The third proportional to 1,158.68 and 1,698.15 is: 2,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.68 : 1,698.15 = 1,698.15 : x
  2. Step 2: Convert to fraction form
    1,158.68/1,698.15 = 1,698.15/x
  3. Step 3: Cross multiply
    1,158.68x = 1,698.15 × 1,698.15
  4. Step 4: Simplify right side
    1,158.68x = 2,883,721.38
  5. Step 5: Solve for x
    x = 2,883,721.38/1,158.68
  6. Step 6: Final answer
    x = 2,488.80

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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.