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Finding the Third Proportional to 221,322 and 341,747

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Solution

The third proportional to 221,322 and 341,747 is: 527,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,322 : 341,747 = 341,747 : x
  2. Step 2: Convert to fraction form
    221,322/341,747 = 341,747/x
  3. Step 3: Cross multiply
    221,322x = 341,747 × 341,747
  4. Step 4: Simplify right side
    221,322x = 116,791,012,009
  5. Step 5: Solve for x
    x = 116,791,012,009/221,322
  6. Step 6: Final answer
    x = 527,697.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.