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Finding the Third Proportional to 296.51 and 427.06

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Solution

The third proportional to 296.51 and 427.06 is: 615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.51 : 427.06 = 427.06 : x
  2. Step 2: Convert to fraction form
    296.51/427.06 = 427.06/x
  3. Step 3: Cross multiply
    296.51x = 427.06 × 427.06
  4. Step 4: Simplify right side
    296.51x = 182,380.71
  5. Step 5: Solve for x
    x = 182,380.71/296.51
  6. Step 6: Final answer
    x = 615.10

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.