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Finding the Third Proportional to 157,725.98 and 342,073.76

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Solution

The third proportional to 157,725.98 and 342,073.76 is: 741,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,725.98 : 342,073.76 = 342,073.76 : x
  2. Step 2: Convert to fraction form
    157,725.98/342,073.76 = 342,073.76/x
  3. Step 3: Cross multiply
    157,725.98x = 342,073.76 × 342,073.76
  4. Step 4: Simplify right side
    157,725.98x = 117,014,455,783.97
  5. Step 5: Solve for x
    x = 117,014,455,783.97/157,725.98
  6. Step 6: Final answer
    x = 741,884.45

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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.