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Finding the Third Proportional to 162,394 and 242,771

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Solution

The third proportional to 162,394 and 242,771 is: 362,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,394 : 242,771 = 242,771 : x
  2. Step 2: Convert to fraction form
    162,394/242,771 = 242,771/x
  3. Step 3: Cross multiply
    162,394x = 242,771 × 242,771
  4. Step 4: Simplify right side
    162,394x = 58,937,758,441
  5. Step 5: Solve for x
    x = 58,937,758,441/162,394
  6. Step 6: Final answer
    x = 362,930.64

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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.