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Finding the Third Proportional to 186,909 and 289,894.50

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Solution

The third proportional to 186,909 and 289,894.50 is: 449,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,909 : 289,894.50 = 289,894.50 : x
  2. Step 2: Convert to fraction form
    186,909/289,894.50 = 289,894.50/x
  3. Step 3: Cross multiply
    186,909x = 289,894.50 × 289,894.50
  4. Step 4: Simplify right side
    186,909x = 84,038,821,130.25
  5. Step 5: Solve for x
    x = 84,038,821,130.25/186,909
  6. Step 6: Final answer
    x = 449,624.26

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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.