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Finding the Third Proportional to 160,670 and 348,997

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Solution

The third proportional to 160,670 and 348,997 is: 758,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,670 : 348,997 = 348,997 : x
  2. Step 2: Convert to fraction form
    160,670/348,997 = 348,997/x
  3. Step 3: Cross multiply
    160,670x = 348,997 × 348,997
  4. Step 4: Simplify right side
    160,670x = 121,798,906,009
  5. Step 5: Solve for x
    x = 121,798,906,009/160,670
  6. Step 6: Final answer
    x = 758,068.75

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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.