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Finding the Third Proportional to 178,688 and 352,832

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Solution

The third proportional to 178,688 and 352,832 is: 696,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,688 : 352,832 = 352,832 : x
  2. Step 2: Convert to fraction form
    178,688/352,832 = 352,832/x
  3. Step 3: Cross multiply
    178,688x = 352,832 × 352,832
  4. Step 4: Simplify right side
    178,688x = 124,490,420,224
  5. Step 5: Solve for x
    x = 124,490,420,224/178,688
  6. Step 6: Final answer
    x = 696,691.55

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.