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Finding the Third Proportional to 186,966.75 and 280,370.50

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Solution

The third proportional to 186,966.75 and 280,370.50 is: 420,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,966.75 : 280,370.50 = 280,370.50 : x
  2. Step 2: Convert to fraction form
    186,966.75/280,370.50 = 280,370.50/x
  3. Step 3: Cross multiply
    186,966.75x = 280,370.50 × 280,370.50
  4. Step 4: Simplify right side
    186,966.75x = 78,607,617,270.25
  5. Step 5: Solve for x
    x = 78,607,617,270.25/186,966.75
  6. Step 6: Final answer
    x = 420,436.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.