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Finding the Third Proportional to 342 and 741.38

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Solution

The third proportional to 342 and 741.38 is: 1,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342 : 741.38 = 741.38 : x
  2. Step 2: Convert to fraction form
    342/741.38 = 741.38/x
  3. Step 3: Cross multiply
    342x = 741.38 × 741.38
  4. Step 4: Simplify right side
    342x = 549,636.89
  5. Step 5: Solve for x
    x = 549,636.89/342
  6. Step 6: Final answer
    x = 1,607.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.