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Finding the Third Proportional to 155,894 and 234,963

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Solution

The third proportional to 155,894 and 234,963 is: 354,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,894 : 234,963 = 234,963 : x
  2. Step 2: Convert to fraction form
    155,894/234,963 = 234,963/x
  3. Step 3: Cross multiply
    155,894x = 234,963 × 234,963
  4. Step 4: Simplify right side
    155,894x = 55,207,611,369
  5. Step 5: Solve for x
    x = 55,207,611,369/155,894
  6. Step 6: Final answer
    x = 354,135.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.