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Finding the Third Proportional to 131,070 and 284,334

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Solution

The third proportional to 131,070 and 284,334 is: 616,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,070 : 284,334 = 284,334 : x
  2. Step 2: Convert to fraction form
    131,070/284,334 = 284,334/x
  3. Step 3: Cross multiply
    131,070x = 284,334 × 284,334
  4. Step 4: Simplify right side
    131,070x = 80,845,823,556
  5. Step 5: Solve for x
    x = 80,845,823,556/131,070
  6. Step 6: Final answer
    x = 616,814.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.