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Finding the Third Proportional to 224,368 and 336,716

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Solution

The third proportional to 224,368 and 336,716 is: 505,320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,368 : 336,716 = 336,716 : x
  2. Step 2: Convert to fraction form
    224,368/336,716 = 336,716/x
  3. Step 3: Cross multiply
    224,368x = 336,716 × 336,716
  4. Step 4: Simplify right side
    224,368x = 113,377,664,656
  5. Step 5: Solve for x
    x = 113,377,664,656/224,368
  6. Step 6: Final answer
    x = 505,320.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.