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Finding the Third Proportional to 157,323 and 235,995

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Solution

The third proportional to 157,323 and 235,995 is: 354,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,323 : 235,995 = 235,995 : x
  2. Step 2: Convert to fraction form
    157,323/235,995 = 235,995/x
  3. Step 3: Cross multiply
    157,323x = 235,995 × 235,995
  4. Step 4: Simplify right side
    157,323x = 55,693,640,025
  5. Step 5: Solve for x
    x = 55,693,640,025/157,323
  6. Step 6: Final answer
    x = 354,008.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.