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Finding the Third Proportional to 162,233 and 349,428

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Solution

The third proportional to 162,233 and 349,428 is: 752,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,233 : 349,428 = 349,428 : x
  2. Step 2: Convert to fraction form
    162,233/349,428 = 349,428/x
  3. Step 3: Cross multiply
    162,233x = 349,428 × 349,428
  4. Step 4: Simplify right side
    162,233x = 122,099,927,184
  5. Step 5: Solve for x
    x = 122,099,927,184/162,233
  6. Step 6: Final answer
    x = 752,620.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.