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Finding the Third Proportional to 347.81 and 751.03

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Solution

The third proportional to 347.81 and 751.03 is: 1,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.81 : 751.03 = 751.03 : x
  2. Step 2: Convert to fraction form
    347.81/751.03 = 751.03/x
  3. Step 3: Cross multiply
    347.81x = 751.03 × 751.03
  4. Step 4: Simplify right side
    347.81x = 564,047.94
  5. Step 5: Solve for x
    x = 564,047.94/347.81
  6. Step 6: Final answer
    x = 1,621.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.