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Finding the Third Proportional to 157,225 and 339,362

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Solution

The third proportional to 157,225 and 339,362 is: 732,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,225 : 339,362 = 339,362 : x
  2. Step 2: Convert to fraction form
    157,225/339,362 = 339,362/x
  3. Step 3: Cross multiply
    157,225x = 339,362 × 339,362
  4. Step 4: Simplify right side
    157,225x = 115,166,567,044
  5. Step 5: Solve for x
    x = 115,166,567,044/157,225
  6. Step 6: Final answer
    x = 732,495.26

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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.