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Finding the Third Proportional to 160,656 and 348,967

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Solution

The third proportional to 160,656 and 348,967 is: 758,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,656 : 348,967 = 348,967 : x
  2. Step 2: Convert to fraction form
    160,656/348,967 = 348,967/x
  3. Step 3: Cross multiply
    160,656x = 348,967 × 348,967
  4. Step 4: Simplify right side
    160,656x = 121,777,967,089
  5. Step 5: Solve for x
    x = 121,777,967,089/160,656
  6. Step 6: Final answer
    x = 758,004.48

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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.