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Finding the Third Proportional to 162,940 and 243,402

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Solution

The third proportional to 162,940 and 243,402 is: 363,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,940 : 243,402 = 243,402 : x
  2. Step 2: Convert to fraction form
    162,940/243,402 = 243,402/x
  3. Step 3: Cross multiply
    162,940x = 243,402 × 243,402
  4. Step 4: Simplify right side
    162,940x = 59,244,533,604
  5. Step 5: Solve for x
    x = 59,244,533,604/162,940
  6. Step 6: Final answer
    x = 363,597.24

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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.