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Finding the Third Proportional to 148,496.63 and 224,013.94

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Solution

The third proportional to 148,496.63 and 224,013.94 is: 337,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,496.63 : 224,013.94 = 224,013.94 : x
  2. Step 2: Convert to fraction form
    148,496.63/224,013.94 = 224,013.94/x
  3. Step 3: Cross multiply
    148,496.63x = 224,013.94 × 224,013.94
  4. Step 4: Simplify right side
    148,496.63x = 50,182,244,194.25
  5. Step 5: Solve for x
    x = 50,182,244,194.25/148,496.63
  6. Step 6: Final answer
    x = 337,935.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.