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Finding the Third Proportional to 147,690 and 229,122

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Solution

The third proportional to 147,690 and 229,122 is: 355,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,690 : 229,122 = 229,122 : x
  2. Step 2: Convert to fraction form
    147,690/229,122 = 229,122/x
  3. Step 3: Cross multiply
    147,690x = 229,122 × 229,122
  4. Step 4: Simplify right side
    147,690x = 52,496,890,884
  5. Step 5: Solve for x
    x = 52,496,890,884/147,690
  6. Step 6: Final answer
    x = 355,453.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.