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Finding the Third Proportional to 151,865 and 226,567.50

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Solution

The third proportional to 151,865 and 226,567.50 is: 338,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,865 : 226,567.50 = 226,567.50 : x
  2. Step 2: Convert to fraction form
    151,865/226,567.50 = 226,567.50/x
  3. Step 3: Cross multiply
    151,865x = 226,567.50 × 226,567.50
  4. Step 4: Simplify right side
    151,865x = 51,332,832,056.25
  5. Step 5: Solve for x
    x = 51,332,832,056.25/151,865
  6. Step 6: Final answer
    x = 338,016.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.