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Finding the Third Proportional to 147,949.50 and 209,345.63

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Solution

The third proportional to 147,949.50 and 209,345.63 is: 296,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,949.50 : 209,345.63 = 209,345.63 : x
  2. Step 2: Convert to fraction form
    147,949.50/209,345.63 = 209,345.63/x
  3. Step 3: Cross multiply
    147,949.50x = 209,345.63 × 209,345.63
  4. Step 4: Simplify right side
    147,949.50x = 43,825,590,706.64
  5. Step 5: Solve for x
    x = 43,825,590,706.64/147,949.50
  6. Step 6: Final answer
    x = 296,219.93

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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.