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Finding the Third Proportional to 186,810 and 289,737

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Solution

The third proportional to 186,810 and 289,737 is: 449,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,810 : 289,737 = 289,737 : x
  2. Step 2: Convert to fraction form
    186,810/289,737 = 289,737/x
  3. Step 3: Cross multiply
    186,810x = 289,737 × 289,737
  4. Step 4: Simplify right side
    186,810x = 83,947,529,169
  5. Step 5: Solve for x
    x = 83,947,529,169/186,810
  6. Step 6: Final answer
    x = 449,373.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.