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Finding the Third Proportional to 147,720 and 322,176

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Solution

The third proportional to 147,720 and 322,176 is: 702,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,720 : 322,176 = 322,176 : x
  2. Step 2: Convert to fraction form
    147,720/322,176 = 322,176/x
  3. Step 3: Cross multiply
    147,720x = 322,176 × 322,176
  4. Step 4: Simplify right side
    147,720x = 103,797,374,976
  5. Step 5: Solve for x
    x = 103,797,374,976/147,720
  6. Step 6: Final answer
    x = 702,662.98

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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.