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Finding the Third Proportional to 162,710 and 298,420

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Solution

The third proportional to 162,710 and 298,420 is: 547,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,710 : 298,420 = 298,420 : x
  2. Step 2: Convert to fraction form
    162,710/298,420 = 298,420/x
  3. Step 3: Cross multiply
    162,710x = 298,420 × 298,420
  4. Step 4: Simplify right side
    162,710x = 89,054,496,400
  5. Step 5: Solve for x
    x = 89,054,496,400/162,710
  6. Step 6: Final answer
    x = 547,320.36

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.