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Finding the Third Proportional to 114,720 and 246,052.50

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Solution

The third proportional to 114,720 and 246,052.50 is: 527,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,720 : 246,052.50 = 246,052.50 : x
  2. Step 2: Convert to fraction form
    114,720/246,052.50 = 246,052.50/x
  3. Step 3: Cross multiply
    114,720x = 246,052.50 × 246,052.50
  4. Step 4: Simplify right side
    114,720x = 60,541,832,756.25
  5. Step 5: Solve for x
    x = 60,541,832,756.25/114,720
  6. Step 6: Final answer
    x = 527,735.64

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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.