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Finding the Third Proportional to 161,103 and 349,896

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Solution

The third proportional to 161,103 and 349,896 is: 759,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,103 : 349,896 = 349,896 : x
  2. Step 2: Convert to fraction form
    161,103/349,896 = 349,896/x
  3. Step 3: Cross multiply
    161,103x = 349,896 × 349,896
  4. Step 4: Simplify right side
    161,103x = 122,427,210,816
  5. Step 5: Solve for x
    x = 122,427,210,816/161,103
  6. Step 6: Final answer
    x = 759,931.29

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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.