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Finding the Third Proportional to 157,947 and 372,859

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Solution

The third proportional to 157,947 and 372,859 is: 880,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,947 : 372,859 = 372,859 : x
  2. Step 2: Convert to fraction form
    157,947/372,859 = 372,859/x
  3. Step 3: Cross multiply
    157,947x = 372,859 × 372,859
  4. Step 4: Simplify right side
    157,947x = 139,023,833,881
  5. Step 5: Solve for x
    x = 139,023,833,881/157,947
  6. Step 6: Final answer
    x = 880,192.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.