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Finding the Third Proportional to 72,446.34 and 155,604.94

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Solution

The third proportional to 72,446.34 and 155,604.94 is: 334,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,446.34 : 155,604.94 = 155,604.94 : x
  2. Step 2: Convert to fraction form
    72,446.34/155,604.94 = 155,604.94/x
  3. Step 3: Cross multiply
    72,446.34x = 155,604.94 × 155,604.94
  4. Step 4: Simplify right side
    72,446.34x = 24,212,896,574.38
  5. Step 5: Solve for x
    x = 24,212,896,574.38/72,446.34
  6. Step 6: Final answer
    x = 334,218.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.