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Finding the Third Proportional to 216,452 and 294,870

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Solution

The third proportional to 216,452 and 294,870 is: 401,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,452 : 294,870 = 294,870 : x
  2. Step 2: Convert to fraction form
    216,452/294,870 = 294,870/x
  3. Step 3: Cross multiply
    216,452x = 294,870 × 294,870
  4. Step 4: Simplify right side
    216,452x = 86,948,316,900
  5. Step 5: Solve for x
    x = 86,948,316,900/216,452
  6. Step 6: Final answer
    x = 401,697.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.