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Finding the Third Proportional to 224,664 and 341,608.50

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Solution

The third proportional to 224,664 and 341,608.50 is: 519,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,664 : 341,608.50 = 341,608.50 : x
  2. Step 2: Convert to fraction form
    224,664/341,608.50 = 341,608.50/x
  3. Step 3: Cross multiply
    224,664x = 341,608.50 × 341,608.50
  4. Step 4: Simplify right side
    224,664x = 116,696,367,272.25
  5. Step 5: Solve for x
    x = 116,696,367,272.25/224,664
  6. Step 6: Final answer
    x = 519,426.20

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