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Finding the Third Proportional to 178,078.50 and 384,246

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Solution

The third proportional to 178,078.50 and 384,246 is: 829,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,078.50 : 384,246 = 384,246 : x
  2. Step 2: Convert to fraction form
    178,078.50/384,246 = 384,246/x
  3. Step 3: Cross multiply
    178,078.50x = 384,246 × 384,246
  4. Step 4: Simplify right side
    178,078.50x = 147,644,988,516
  5. Step 5: Solve for x
    x = 147,644,988,516/178,078.50
  6. Step 6: Final answer
    x = 829,100.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.