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Finding the Third Proportional to 157,570 and 233,881

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Solution

The third proportional to 157,570 and 233,881 is: 347,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,570 : 233,881 = 233,881 : x
  2. Step 2: Convert to fraction form
    157,570/233,881 = 233,881/x
  3. Step 3: Cross multiply
    157,570x = 233,881 × 233,881
  4. Step 4: Simplify right side
    157,570x = 54,700,322,161
  5. Step 5: Solve for x
    x = 54,700,322,161/157,570
  6. Step 6: Final answer
    x = 347,149.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.