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Finding the Third Proportional to 142,163 and 304,009

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Solution

The third proportional to 142,163 and 304,009 is: 650,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,163 : 304,009 = 304,009 : x
  2. Step 2: Convert to fraction form
    142,163/304,009 = 304,009/x
  3. Step 3: Cross multiply
    142,163x = 304,009 × 304,009
  4. Step 4: Simplify right side
    142,163x = 92,421,472,081
  5. Step 5: Solve for x
    x = 92,421,472,081/142,163
  6. Step 6: Final answer
    x = 650,109.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.