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Finding the Third Proportional to 161,030 and 349,762

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Solution

The third proportional to 161,030 and 349,762 is: 759,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,030 : 349,762 = 349,762 : x
  2. Step 2: Convert to fraction form
    161,030/349,762 = 349,762/x
  3. Step 3: Cross multiply
    161,030x = 349,762 × 349,762
  4. Step 4: Simplify right side
    161,030x = 122,333,456,644
  5. Step 5: Solve for x
    x = 122,333,456,644/161,030
  6. Step 6: Final answer
    x = 759,693.58

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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.