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Finding the Third Proportional to 146,027.81 and 313,196.63

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Solution

The third proportional to 146,027.81 and 313,196.63 is: 671,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,027.81 : 313,196.63 = 313,196.63 : x
  2. Step 2: Convert to fraction form
    146,027.81/313,196.63 = 313,196.63/x
  3. Step 3: Cross multiply
    146,027.81x = 313,196.63 × 313,196.63
  4. Step 4: Simplify right side
    146,027.81x = 98,092,125,911.39
  5. Step 5: Solve for x
    x = 98,092,125,911.39/146,027.81
  6. Step 6: Final answer
    x = 671,735.91

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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.