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Finding the Third Proportional to 186,737.25 and 282,329.25

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Solution

The third proportional to 186,737.25 and 282,329.25 is: 426,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,737.25 : 282,329.25 = 282,329.25 : x
  2. Step 2: Convert to fraction form
    186,737.25/282,329.25 = 282,329.25/x
  3. Step 3: Cross multiply
    186,737.25x = 282,329.25 × 282,329.25
  4. Step 4: Simplify right side
    186,737.25x = 79,709,805,405.56
  5. Step 5: Solve for x
    x = 79,709,805,405.56/186,737.25
  6. Step 6: Final answer
    x = 426,855.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.