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Finding the Third Proportional to 224,672.06 and 346,963.50

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Solution

The third proportional to 224,672.06 and 346,963.50 is: 535,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,672.06 : 346,963.50 = 346,963.50 : x
  2. Step 2: Convert to fraction form
    224,672.06/346,963.50 = 346,963.50/x
  3. Step 3: Cross multiply
    224,672.06x = 346,963.50 × 346,963.50
  4. Step 4: Simplify right side
    224,672.06x = 120,383,670,332.25
  5. Step 5: Solve for x
    x = 120,383,670,332.25/224,672.06
  6. Step 6: Final answer
    x = 535,819.49

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