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Finding the Third Proportional to 162,667 and 243,043

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Solution

The third proportional to 162,667 and 243,043 is: 363,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,667 : 243,043 = 243,043 : x
  2. Step 2: Convert to fraction form
    162,667/243,043 = 243,043/x
  3. Step 3: Cross multiply
    162,667x = 243,043 × 243,043
  4. Step 4: Simplify right side
    162,667x = 59,069,899,849
  5. Step 5: Solve for x
    x = 59,069,899,849/162,667
  6. Step 6: Final answer
    x = 363,133.89

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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.