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Finding the Third Proportional to 157,672 and 230,640

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Solution

The third proportional to 157,672 and 230,640 is: 337,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,672 : 230,640 = 230,640 : x
  2. Step 2: Convert to fraction form
    157,672/230,640 = 230,640/x
  3. Step 3: Cross multiply
    157,672x = 230,640 × 230,640
  4. Step 4: Simplify right side
    157,672x = 53,194,809,600
  5. Step 5: Solve for x
    x = 53,194,809,600/157,672
  6. Step 6: Final answer
    x = 337,376.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.