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Finding the Third Proportional to 146,817 and 211,963.50

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Solution

The third proportional to 146,817 and 211,963.50 is: 306,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,817 : 211,963.50 = 211,963.50 : x
  2. Step 2: Convert to fraction form
    146,817/211,963.50 = 211,963.50/x
  3. Step 3: Cross multiply
    146,817x = 211,963.50 × 211,963.50
  4. Step 4: Simplify right side
    146,817x = 44,928,525,332.25
  5. Step 5: Solve for x
    x = 44,928,525,332.25/146,817
  6. Step 6: Final answer
    x = 306,017.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.