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Finding the Third Proportional to 157,278 and 339,468

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Solution

The third proportional to 157,278 and 339,468 is: 732,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,278 : 339,468 = 339,468 : x
  2. Step 2: Convert to fraction form
    157,278/339,468 = 339,468/x
  3. Step 3: Cross multiply
    157,278x = 339,468 × 339,468
  4. Step 4: Simplify right side
    157,278x = 115,238,523,024
  5. Step 5: Solve for x
    x = 115,238,523,024/157,278
  6. Step 6: Final answer
    x = 732,705.93

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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.