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Finding the Third Proportional to 147,717 and 322,160.63

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Solution

The third proportional to 147,717 and 322,160.63 is: 702,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,717 : 322,160.63 = 322,160.63 : x
  2. Step 2: Convert to fraction form
    147,717/322,160.63 = 322,160.63/x
  3. Step 3: Cross multiply
    147,717x = 322,160.63 × 322,160.63
  4. Step 4: Simplify right side
    147,717x = 103,787,468,300.39
  5. Step 5: Solve for x
    x = 103,787,468,300.39/147,717
  6. Step 6: Final answer
    x = 702,610.18

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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.