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Finding the Third Proportional to 157,764 and 238,524

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Solution

The third proportional to 157,764 and 238,524 is: 360,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,764 : 238,524 = 238,524 : x
  2. Step 2: Convert to fraction form
    157,764/238,524 = 238,524/x
  3. Step 3: Cross multiply
    157,764x = 238,524 × 238,524
  4. Step 4: Simplify right side
    157,764x = 56,893,698,576
  5. Step 5: Solve for x
    x = 56,893,698,576/157,764
  6. Step 6: Final answer
    x = 360,625.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.