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Finding the Third Proportional to 368.93 and 571.15

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Solution

The third proportional to 368.93 and 571.15 is: 884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.93 : 571.15 = 571.15 : x
  2. Step 2: Convert to fraction form
    368.93/571.15 = 571.15/x
  3. Step 3: Cross multiply
    368.93x = 571.15 × 571.15
  4. Step 4: Simplify right side
    368.93x = 326,210.54
  5. Step 5: Solve for x
    x = 326,210.54/368.93
  6. Step 6: Final answer
    x = 884.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.