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Finding the Third Proportional to 144,646 and 223,947

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Solution

The third proportional to 144,646 and 223,947 is: 346,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,646 : 223,947 = 223,947 : x
  2. Step 2: Convert to fraction form
    144,646/223,947 = 223,947/x
  3. Step 3: Cross multiply
    144,646x = 223,947 × 223,947
  4. Step 4: Simplify right side
    144,646x = 50,152,258,809
  5. Step 5: Solve for x
    x = 50,152,258,809/144,646
  6. Step 6: Final answer
    x = 346,724.13

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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.