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Finding the Third Proportional to 289 and 370

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Solution

The third proportional to 289 and 370 is: 473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 370 = 370 : x
  2. Step 2: Convert to fraction form
    289/370 = 370/x
  3. Step 3: Cross multiply
    289x = 370 × 370
  4. Step 4: Simplify right side
    289x = 136,900
  5. Step 5: Solve for x
    x = 136,900/289
  6. Step 6: Final answer
    x = 473.70

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.