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Finding the Third Proportional to 212,110 and 296,700

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Solution

The third proportional to 212,110 and 296,700 is: 415,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,110 : 296,700 = 296,700 : x
  2. Step 2: Convert to fraction form
    212,110/296,700 = 296,700/x
  3. Step 3: Cross multiply
    212,110x = 296,700 × 296,700
  4. Step 4: Simplify right side
    212,110x = 88,030,890,000
  5. Step 5: Solve for x
    x = 88,030,890,000/212,110
  6. Step 6: Final answer
    x = 415,024.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.