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Finding the Third Proportional to 212,111 and 296,701

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Solution

The third proportional to 212,111 and 296,701 is: 415,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,111 : 296,701 = 296,701 : x
  2. Step 2: Convert to fraction form
    212,111/296,701 = 296,701/x
  3. Step 3: Cross multiply
    212,111x = 296,701 × 296,701
  4. Step 4: Simplify right side
    212,111x = 88,031,483,401
  5. Step 5: Solve for x
    x = 88,031,483,401/212,111
  6. Step 6: Final answer
    x = 415,025.55

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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.