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Finding the Third Proportional to 368.69 and 546.06

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Solution

The third proportional to 368.69 and 546.06 is: 808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.69 : 546.06 = 546.06 : x
  2. Step 2: Convert to fraction form
    368.69/546.06 = 546.06/x
  3. Step 3: Cross multiply
    368.69x = 546.06 × 546.06
  4. Step 4: Simplify right side
    368.69x = 298,184.25
  5. Step 5: Solve for x
    x = 298,184.25/368.69
  6. Step 6: Final answer
    x = 808.77

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.