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Finding the Third Proportional to 114,898 and 165,487

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Solution

The third proportional to 114,898 and 165,487 is: 238,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,898 : 165,487 = 165,487 : x
  2. Step 2: Convert to fraction form
    114,898/165,487 = 165,487/x
  3. Step 3: Cross multiply
    114,898x = 165,487 × 165,487
  4. Step 4: Simplify right side
    114,898x = 27,385,947,169
  5. Step 5: Solve for x
    x = 27,385,947,169/114,898
  6. Step 6: Final answer
    x = 238,350.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.