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Finding the Third Proportional to 186,522.75 and 289,329.75

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Solution

The third proportional to 186,522.75 and 289,329.75 is: 448,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,522.75 : 289,329.75 = 289,329.75 : x
  2. Step 2: Convert to fraction form
    186,522.75/289,329.75 = 289,329.75/x
  3. Step 3: Cross multiply
    186,522.75x = 289,329.75 × 289,329.75
  4. Step 4: Simplify right side
    186,522.75x = 83,711,704,235.06
  5. Step 5: Solve for x
    x = 83,711,704,235.06/186,522.75
  6. Step 6: Final answer
    x = 448,801.58

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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.