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Finding the Third Proportional to 161,028 and 349,758

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Solution

The third proportional to 161,028 and 349,758 is: 759,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,028 : 349,758 = 349,758 : x
  2. Step 2: Convert to fraction form
    161,028/349,758 = 349,758/x
  3. Step 3: Cross multiply
    161,028x = 349,758 × 349,758
  4. Step 4: Simplify right side
    161,028x = 122,330,658,564
  5. Step 5: Solve for x
    x = 122,330,658,564/161,028
  6. Step 6: Final answer
    x = 759,685.64

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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.