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Finding the Third Proportional to 162,426 and 342,624

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Solution

The third proportional to 162,426 and 342,624 is: 722,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,426 : 342,624 = 342,624 : x
  2. Step 2: Convert to fraction form
    162,426/342,624 = 342,624/x
  3. Step 3: Cross multiply
    162,426x = 342,624 × 342,624
  4. Step 4: Simplify right side
    162,426x = 117,391,205,376
  5. Step 5: Solve for x
    x = 117,391,205,376/162,426
  6. Step 6: Final answer
    x = 722,736.54

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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.