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Finding the Third Proportional to 224,710 and 341,664

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Solution

The third proportional to 224,710 and 341,664 is: 519,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,710 : 341,664 = 341,664 : x
  2. Step 2: Convert to fraction form
    224,710/341,664 = 341,664/x
  3. Step 3: Cross multiply
    224,710x = 341,664 × 341,664
  4. Step 4: Simplify right side
    224,710x = 116,734,288,896
  5. Step 5: Solve for x
    x = 116,734,288,896/224,710
  6. Step 6: Final answer
    x = 519,488.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.