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Finding the Third Proportional to 314 and 358

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Solution

The third proportional to 314 and 358 is: 408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 358 = 358 : x
  2. Step 2: Convert to fraction form
    314/358 = 358/x
  3. Step 3: Cross multiply
    314x = 358 × 358
  4. Step 4: Simplify right side
    314x = 128,164
  5. Step 5: Solve for x
    x = 128,164/314
  6. Step 6: Final answer
    x = 408.17

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.