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Finding the Third Proportional to 169,497 and 229,938

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Solution

The third proportional to 169,497 and 229,938 is: 311,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,497 : 229,938 = 229,938 : x
  2. Step 2: Convert to fraction form
    169,497/229,938 = 229,938/x
  3. Step 3: Cross multiply
    169,497x = 229,938 × 229,938
  4. Step 4: Simplify right side
    169,497x = 52,871,483,844
  5. Step 5: Solve for x
    x = 52,871,483,844/169,497
  6. Step 6: Final answer
    x = 311,931.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.