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Finding the Third Proportional to 341.38 and 514.94

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Solution

The third proportional to 341.38 and 514.94 is: 776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.38 : 514.94 = 514.94 : x
  2. Step 2: Convert to fraction form
    341.38/514.94 = 514.94/x
  3. Step 3: Cross multiply
    341.38x = 514.94 × 514.94
  4. Step 4: Simplify right side
    341.38x = 265,160.63
  5. Step 5: Solve for x
    x = 265,160.63/341.38
  6. Step 6: Final answer
    x = 776.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.