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Finding the Third Proportional to 114,722.16 and 246,051.84

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Solution

The third proportional to 114,722.16 and 246,051.84 is: 527,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,722.16 : 246,051.84 = 246,051.84 : x
  2. Step 2: Convert to fraction form
    114,722.16/246,051.84 = 246,051.84/x
  3. Step 3: Cross multiply
    114,722.16x = 246,051.84 × 246,051.84
  4. Step 4: Simplify right side
    114,722.16x = 60,541,509,812.77
  5. Step 5: Solve for x
    x = 60,541,509,812.77/114,722.16
  6. Step 6: Final answer
    x = 527,722.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.