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Finding the Third Proportional to 159,009 and 348,033

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Solution

The third proportional to 159,009 and 348,033 is: 761,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,009 : 348,033 = 348,033 : x
  2. Step 2: Convert to fraction form
    159,009/348,033 = 348,033/x
  3. Step 3: Cross multiply
    159,009x = 348,033 × 348,033
  4. Step 4: Simplify right side
    159,009x = 121,126,969,089
  5. Step 5: Solve for x
    x = 121,126,969,089/159,009
  6. Step 6: Final answer
    x = 761,761.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.