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Finding the Third Proportional to 157,680 and 364,656

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Solution

The third proportional to 157,680 and 364,656 is: 843,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,680 : 364,656 = 364,656 : x
  2. Step 2: Convert to fraction form
    157,680/364,656 = 364,656/x
  3. Step 3: Cross multiply
    157,680x = 364,656 × 364,656
  4. Step 4: Simplify right side
    157,680x = 132,973,998,336
  5. Step 5: Solve for x
    x = 132,973,998,336/157,680
  6. Step 6: Final answer
    x = 843,315.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.