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Finding the Third Proportional to 84,248 and 178,160

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Solution

The third proportional to 84,248 and 178,160 is: 376,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,248 : 178,160 = 178,160 : x
  2. Step 2: Convert to fraction form
    84,248/178,160 = 178,160/x
  3. Step 3: Cross multiply
    84,248x = 178,160 × 178,160
  4. Step 4: Simplify right side
    84,248x = 31,740,985,600
  5. Step 5: Solve for x
    x = 31,740,985,600/84,248
  6. Step 6: Final answer
    x = 376,756.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.