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Finding the Third Proportional to 157,633 and 238,085

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Solution

The third proportional to 157,633 and 238,085 is: 359,597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,633 : 238,085 = 238,085 : x
  2. Step 2: Convert to fraction form
    157,633/238,085 = 238,085/x
  3. Step 3: Cross multiply
    157,633x = 238,085 × 238,085
  4. Step 4: Simplify right side
    157,633x = 56,684,467,225
  5. Step 5: Solve for x
    x = 56,684,467,225/157,633
  6. Step 6: Final answer
    x = 359,597.72

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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.