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Finding the Third Proportional to 157,658 and 238,125

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Solution

The third proportional to 157,658 and 238,125 is: 359,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,658 : 238,125 = 238,125 : x
  2. Step 2: Convert to fraction form
    157,658/238,125 = 238,125/x
  3. Step 3: Cross multiply
    157,658x = 238,125 × 238,125
  4. Step 4: Simplify right side
    157,658x = 56,703,515,625
  5. Step 5: Solve for x
    x = 56,703,515,625/157,658
  6. Step 6: Final answer
    x = 359,661.52

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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.