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Finding the Third Proportional to 310.03 and 482.06

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Solution

The third proportional to 310.03 and 482.06 is: 749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.03 : 482.06 = 482.06 : x
  2. Step 2: Convert to fraction form
    310.03/482.06 = 482.06/x
  3. Step 3: Cross multiply
    310.03x = 482.06 × 482.06
  4. Step 4: Simplify right side
    310.03x = 232,384.25
  5. Step 5: Solve for x
    x = 232,384.25/310.03
  6. Step 6: Final answer
    x = 749.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.