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Finding the Third Proportional to 157,644.25 and 345,947

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Solution

The third proportional to 157,644.25 and 345,947 is: 759,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,644.25 : 345,947 = 345,947 : x
  2. Step 2: Convert to fraction form
    157,644.25/345,947 = 345,947/x
  3. Step 3: Cross multiply
    157,644.25x = 345,947 × 345,947
  4. Step 4: Simplify right side
    157,644.25x = 119,679,326,809
  5. Step 5: Solve for x
    x = 119,679,326,809/157,644.25
  6. Step 6: Final answer
    x = 759,173.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.