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Finding the Third Proportional to 157,688 and 235,912

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Solution

The third proportional to 157,688 and 235,912 is: 352,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,688 : 235,912 = 235,912 : x
  2. Step 2: Convert to fraction form
    157,688/235,912 = 235,912/x
  3. Step 3: Cross multiply
    157,688x = 235,912 × 235,912
  4. Step 4: Simplify right side
    157,688x = 55,654,471,744
  5. Step 5: Solve for x
    x = 55,654,471,744/157,688
  6. Step 6: Final answer
    x = 352,940.44

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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.