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Finding the Third Proportional to 186,724 and 280,224

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Solution

The third proportional to 186,724 and 280,224 is: 420,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,724 : 280,224 = 280,224 : x
  2. Step 2: Convert to fraction form
    186,724/280,224 = 280,224/x
  3. Step 3: Cross multiply
    186,724x = 280,224 × 280,224
  4. Step 4: Simplify right side
    186,724x = 78,525,490,176
  5. Step 5: Solve for x
    x = 78,525,490,176/186,724
  6. Step 6: Final answer
    x = 420,543.10

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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.