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Finding the Third Proportional to 157,610 and 236,576

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Solution

The third proportional to 157,610 and 236,576 is: 355,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,610 : 236,576 = 236,576 : x
  2. Step 2: Convert to fraction form
    157,610/236,576 = 236,576/x
  3. Step 3: Cross multiply
    157,610x = 236,576 × 236,576
  4. Step 4: Simplify right side
    157,610x = 55,968,203,776
  5. Step 5: Solve for x
    x = 55,968,203,776/157,610
  6. Step 6: Final answer
    x = 355,105.66

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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.