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Finding the Third Proportional to 243,177 and 388,480

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Solution

The third proportional to 243,177 and 388,480 is: 620,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,177 : 388,480 = 388,480 : x
  2. Step 2: Convert to fraction form
    243,177/388,480 = 388,480/x
  3. Step 3: Cross multiply
    243,177x = 388,480 × 388,480
  4. Step 4: Simplify right side
    243,177x = 150,916,710,400
  5. Step 5: Solve for x
    x = 150,916,710,400/243,177
  6. Step 6: Final answer
    x = 620,604.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.