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Finding the Third Proportional to 157,608 and 236,577

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Solution

The third proportional to 157,608 and 236,577 is: 355,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,608 : 236,577 = 236,577 : x
  2. Step 2: Convert to fraction form
    157,608/236,577 = 236,577/x
  3. Step 3: Cross multiply
    157,608x = 236,577 × 236,577
  4. Step 4: Simplify right side
    157,608x = 55,968,676,929
  5. Step 5: Solve for x
    x = 55,968,676,929/157,608
  6. Step 6: Final answer
    x = 355,113.17

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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.