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Finding the Third Proportional to 154,354 and 327,656

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Solution

The third proportional to 154,354 and 327,656 is: 695,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,354 : 327,656 = 327,656 : x
  2. Step 2: Convert to fraction form
    154,354/327,656 = 327,656/x
  3. Step 3: Cross multiply
    154,354x = 327,656 × 327,656
  4. Step 4: Simplify right side
    154,354x = 107,358,454,336
  5. Step 5: Solve for x
    x = 107,358,454,336/154,354
  6. Step 6: Final answer
    x = 695,534.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.