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Finding the Third Proportional to 162,412 and 242,796

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Solution

The third proportional to 162,412 and 242,796 is: 362,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,412 : 242,796 = 242,796 : x
  2. Step 2: Convert to fraction form
    162,412/242,796 = 242,796/x
  3. Step 3: Cross multiply
    162,412x = 242,796 × 242,796
  4. Step 4: Simplify right side
    162,412x = 58,949,897,616
  5. Step 5: Solve for x
    x = 58,949,897,616/162,412
  6. Step 6: Final answer
    x = 362,965.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.