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Finding the Third Proportional to 157,233 and 339,492

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Solution

The third proportional to 157,233 and 339,492 is: 733,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,233 : 339,492 = 339,492 : x
  2. Step 2: Convert to fraction form
    157,233/339,492 = 339,492/x
  3. Step 3: Cross multiply
    157,233x = 339,492 × 339,492
  4. Step 4: Simplify right side
    157,233x = 115,254,818,064
  5. Step 5: Solve for x
    x = 115,254,818,064/157,233
  6. Step 6: Final answer
    x = 733,019.26

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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.