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Finding the Third Proportional to 306 and 415.13

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Solution

The third proportional to 306 and 415.13 is: 563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 415.13 = 415.13 : x
  2. Step 2: Convert to fraction form
    306/415.13 = 415.13/x
  3. Step 3: Cross multiply
    306x = 415.13 × 415.13
  4. Step 4: Simplify right side
    306x = 172,328.77
  5. Step 5: Solve for x
    x = 172,328.77/306
  6. Step 6: Final answer
    x = 563.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.