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Finding the Third Proportional to 157,626 and 345,888

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Solution

The third proportional to 157,626 and 345,888 is: 759,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,626 : 345,888 = 345,888 : x
  2. Step 2: Convert to fraction form
    157,626/345,888 = 345,888/x
  3. Step 3: Cross multiply
    157,626x = 345,888 × 345,888
  4. Step 4: Simplify right side
    157,626x = 119,638,508,544
  5. Step 5: Solve for x
    x = 119,638,508,544/157,626
  6. Step 6: Final answer
    x = 759,002.38

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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.