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Finding the Third Proportional to 152,226 and 216,366.75

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Solution

The third proportional to 152,226 and 216,366.75 is: 307,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,226 : 216,366.75 = 216,366.75 : x
  2. Step 2: Convert to fraction form
    152,226/216,366.75 = 216,366.75/x
  3. Step 3: Cross multiply
    152,226x = 216,366.75 × 216,366.75
  4. Step 4: Simplify right side
    152,226x = 46,814,570,505.56
  5. Step 5: Solve for x
    x = 46,814,570,505.56/152,226
  6. Step 6: Final answer
    x = 307,533.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.