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Finding the Third Proportional to 147,648.75 and 322,362.75

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Solution

The third proportional to 147,648.75 and 322,362.75 is: 703,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,648.75 : 322,362.75 = 322,362.75 : x
  2. Step 2: Convert to fraction form
    147,648.75/322,362.75 = 322,362.75/x
  3. Step 3: Cross multiply
    147,648.75x = 322,362.75 × 322,362.75
  4. Step 4: Simplify right side
    147,648.75x = 103,917,742,587.56
  5. Step 5: Solve for x
    x = 103,917,742,587.56/147,648.75
  6. Step 6: Final answer
    x = 703,817.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.