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Finding the Third Proportional to 157,592 and 340,444

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Solution

The third proportional to 157,592 and 340,444 is: 735,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,592 : 340,444 = 340,444 : x
  2. Step 2: Convert to fraction form
    157,592/340,444 = 340,444/x
  3. Step 3: Cross multiply
    157,592x = 340,444 × 340,444
  4. Step 4: Simplify right side
    157,592x = 115,902,117,136
  5. Step 5: Solve for x
    x = 115,902,117,136/157,592
  6. Step 6: Final answer
    x = 735,456.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.