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Finding the Third Proportional to 224,707.50 and 341,661.38

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Solution

The third proportional to 224,707.50 and 341,661.38 is: 519,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,707.50 : 341,661.38 = 341,661.38 : x
  2. Step 2: Convert to fraction form
    224,707.50/341,661.38 = 341,661.38/x
  3. Step 3: Cross multiply
    224,707.50x = 341,661.38 × 341,661.38
  4. Step 4: Simplify right side
    224,707.50x = 116,732,495,166.89
  5. Step 5: Solve for x
    x = 116,732,495,166.89/224,707.50
  6. Step 6: Final answer
    x = 519,486.42

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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.