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Finding the Third Proportional to 157,969 and 347,960

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Solution

The third proportional to 157,969 and 347,960 is: 766,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,969 : 347,960 = 347,960 : x
  2. Step 2: Convert to fraction form
    157,969/347,960 = 347,960/x
  3. Step 3: Cross multiply
    157,969x = 347,960 × 347,960
  4. Step 4: Simplify right side
    157,969x = 121,076,161,600
  5. Step 5: Solve for x
    x = 121,076,161,600/157,969
  6. Step 6: Final answer
    x = 766,455.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.