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Finding the Third Proportional to 84,444 and 156,428

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Solution

The third proportional to 84,444 and 156,428 is: 289,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,444 : 156,428 = 156,428 : x
  2. Step 2: Convert to fraction form
    84,444/156,428 = 156,428/x
  3. Step 3: Cross multiply
    84,444x = 156,428 × 156,428
  4. Step 4: Simplify right side
    84,444x = 24,469,719,184
  5. Step 5: Solve for x
    x = 24,469,719,184/84,444
  6. Step 6: Final answer
    x = 289,774.52

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.