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Finding the Third Proportional to 342.07 and 750.34

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Solution

The third proportional to 342.07 and 750.34 is: 1,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.07 : 750.34 = 750.34 : x
  2. Step 2: Convert to fraction form
    342.07/750.34 = 750.34/x
  3. Step 3: Cross multiply
    342.07x = 750.34 × 750.34
  4. Step 4: Simplify right side
    342.07x = 563,009.88
  5. Step 5: Solve for x
    x = 563,009.88/342.07
  6. Step 6: Final answer
    x = 1,645.89

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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.