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Finding the Third Proportional to 162,392 and 242,768

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Solution

The third proportional to 162,392 and 242,768 is: 362,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,392 : 242,768 = 242,768 : x
  2. Step 2: Convert to fraction form
    162,392/242,768 = 242,768/x
  3. Step 3: Cross multiply
    162,392x = 242,768 × 242,768
  4. Step 4: Simplify right side
    162,392x = 58,936,301,824
  5. Step 5: Solve for x
    x = 58,936,301,824/162,392
  6. Step 6: Final answer
    x = 362,926.14

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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.