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Finding the Third Proportional to 157,858.88 and 348,940.41

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Solution

The third proportional to 157,858.88 and 348,940.41 is: 771,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,858.88 : 348,940.41 = 348,940.41 : x
  2. Step 2: Convert to fraction form
    157,858.88/348,940.41 = 348,940.41/x
  3. Step 3: Cross multiply
    157,858.88x = 348,940.41 × 348,940.41
  4. Step 4: Simplify right side
    157,858.88x = 121,759,407,113.92
  5. Step 5: Solve for x
    x = 121,759,407,113.92/157,858.88
  6. Step 6: Final answer
    x = 771,318.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.