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Finding the Third Proportional to 157,998 and 342,228

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Solution

The third proportional to 157,998 and 342,228 is: 741,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,998 : 342,228 = 342,228 : x
  2. Step 2: Convert to fraction form
    157,998/342,228 = 342,228/x
  3. Step 3: Cross multiply
    157,998x = 342,228 × 342,228
  4. Step 4: Simplify right side
    157,998x = 117,120,003,984
  5. Step 5: Solve for x
    x = 117,120,003,984/157,998
  6. Step 6: Final answer
    x = 741,275.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.