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Finding the Third Proportional to 188,672 and 410,656

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Solution

The third proportional to 188,672 and 410,656 is: 893,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,672 : 410,656 = 410,656 : x
  2. Step 2: Convert to fraction form
    188,672/410,656 = 410,656/x
  3. Step 3: Cross multiply
    188,672x = 410,656 × 410,656
  4. Step 4: Simplify right side
    188,672x = 168,638,350,336
  5. Step 5: Solve for x
    x = 168,638,350,336/188,672
  6. Step 6: Final answer
    x = 893,817.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.