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Finding the Third Proportional to 284.50 and 393.13

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Solution

The third proportional to 284.50 and 393.13 is: 543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 393.13 = 393.13 : x
  2. Step 2: Convert to fraction form
    284.50/393.13 = 393.13/x
  3. Step 3: Cross multiply
    284.50x = 393.13 × 393.13
  4. Step 4: Simplify right side
    284.50x = 154,547.27
  5. Step 5: Solve for x
    x = 154,547.27/284.50
  6. Step 6: Final answer
    x = 543.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.