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Finding the Third Proportional to 152,672 and 309,656

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Solution

The third proportional to 152,672 and 309,656 is: 628,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,672 : 309,656 = 309,656 : x
  2. Step 2: Convert to fraction form
    152,672/309,656 = 309,656/x
  3. Step 3: Cross multiply
    152,672x = 309,656 × 309,656
  4. Step 4: Simplify right side
    152,672x = 95,886,838,336
  5. Step 5: Solve for x
    x = 95,886,838,336/152,672
  6. Step 6: Final answer
    x = 628,057.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.