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Finding the Third Proportional to 148,913.44 and 224,742.94

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Solution

The third proportional to 148,913.44 and 224,742.94 is: 339,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,913.44 : 224,742.94 = 224,742.94 : x
  2. Step 2: Convert to fraction form
    148,913.44/224,742.94 = 224,742.94/x
  3. Step 3: Cross multiply
    148,913.44x = 224,742.94 × 224,742.94
  4. Step 4: Simplify right side
    148,913.44x = 50,509,387,956.13
  5. Step 5: Solve for x
    x = 50,509,387,956.13/148,913.44
  6. Step 6: Final answer
    x = 339,186.23

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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.