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Finding the Third Proportional to 342.56 and 749.06

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Solution

The third proportional to 342.56 and 749.06 is: 1,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.56 : 749.06 = 749.06 : x
  2. Step 2: Convert to fraction form
    342.56/749.06 = 749.06/x
  3. Step 3: Cross multiply
    342.56x = 749.06 × 749.06
  4. Step 4: Simplify right side
    342.56x = 561,094.63
  5. Step 5: Solve for x
    x = 561,094.63/342.56
  6. Step 6: Final answer
    x = 1,637.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.