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Finding the Third Proportional to 148,816 and 224,565

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Solution

The third proportional to 148,816 and 224,565 is: 338,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,816 : 224,565 = 224,565 : x
  2. Step 2: Convert to fraction form
    148,816/224,565 = 224,565/x
  3. Step 3: Cross multiply
    148,816x = 224,565 × 224,565
  4. Step 4: Simplify right side
    148,816x = 50,429,439,225
  5. Step 5: Solve for x
    x = 50,429,439,225/148,816
  6. Step 6: Final answer
    x = 338,871.08

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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.