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Finding the Third Proportional to 147,950 and 209,346.25

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Solution

The third proportional to 147,950 and 209,346.25 is: 296,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,950 : 209,346.25 = 209,346.25 : x
  2. Step 2: Convert to fraction form
    147,950/209,346.25 = 209,346.25/x
  3. Step 3: Cross multiply
    147,950x = 209,346.25 × 209,346.25
  4. Step 4: Simplify right side
    147,950x = 43,825,852,389.06
  5. Step 5: Solve for x
    x = 43,825,852,389.06/147,950
  6. Step 6: Final answer
    x = 296,220.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.