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Finding the Third Proportional to 157,328 and 235,946

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Solution

The third proportional to 157,328 and 235,946 is: 353,850.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,328 : 235,946 = 235,946 : x
  2. Step 2: Convert to fraction form
    157,328/235,946 = 235,946/x
  3. Step 3: Cross multiply
    157,328x = 235,946 × 235,946
  4. Step 4: Simplify right side
    157,328x = 55,670,514,916
  5. Step 5: Solve for x
    x = 55,670,514,916/157,328
  6. Step 6: Final answer
    x = 353,850.01

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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.