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Finding the Third Proportional to 261.42 and 382.99

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Solution

The third proportional to 261.42 and 382.99 is: 561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.42 : 382.99 = 382.99 : x
  2. Step 2: Convert to fraction form
    261.42/382.99 = 382.99/x
  3. Step 3: Cross multiply
    261.42x = 382.99 × 382.99
  4. Step 4: Simplify right side
    261.42x = 146,683.02
  5. Step 5: Solve for x
    x = 146,683.02/261.42
  6. Step 6: Final answer
    x = 561.10

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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.