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Finding the Third Proportional to 157,764 and 236,718

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Solution

The third proportional to 157,764 and 236,718 is: 355,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,764 : 236,718 = 236,718 : x
  2. Step 2: Convert to fraction form
    157,764/236,718 = 236,718/x
  3. Step 3: Cross multiply
    157,764x = 236,718 × 236,718
  4. Step 4: Simplify right side
    157,764x = 56,035,411,524
  5. Step 5: Solve for x
    x = 56,035,411,524/157,764
  6. Step 6: Final answer
    x = 355,185.03

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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.