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Finding the Third Proportional to 157,077 and 348,984

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Solution

The third proportional to 157,077 and 348,984 is: 775,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,077 : 348,984 = 348,984 : x
  2. Step 2: Convert to fraction form
    157,077/348,984 = 348,984/x
  3. Step 3: Cross multiply
    157,077x = 348,984 × 348,984
  4. Step 4: Simplify right side
    157,077x = 121,789,832,256
  5. Step 5: Solve for x
    x = 121,789,832,256/157,077
  6. Step 6: Final answer
    x = 775,351.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.