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Finding the Third Proportional to 150,715 and 233,157

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Solution

The third proportional to 150,715 and 233,157 is: 360,695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,715 : 233,157 = 233,157 : x
  2. Step 2: Convert to fraction form
    150,715/233,157 = 233,157/x
  3. Step 3: Cross multiply
    150,715x = 233,157 × 233,157
  4. Step 4: Simplify right side
    150,715x = 54,362,186,649
  5. Step 5: Solve for x
    x = 54,362,186,649/150,715
  6. Step 6: Final answer
    x = 360,695.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.