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Finding the Third Proportional to 147,725 and 322,177

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Solution

The third proportional to 147,725 and 322,177 is: 702,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,725 : 322,177 = 322,177 : x
  2. Step 2: Convert to fraction form
    147,725/322,177 = 322,177/x
  3. Step 3: Cross multiply
    147,725x = 322,177 × 322,177
  4. Step 4: Simplify right side
    147,725x = 103,798,019,329
  5. Step 5: Solve for x
    x = 103,798,019,329/147,725
  6. Step 6: Final answer
    x = 702,643.56

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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.