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Finding the Third Proportional to 186,025 and 278,310

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Solution

The third proportional to 186,025 and 278,310 is: 416,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,025 : 278,310 = 278,310 : x
  2. Step 2: Convert to fraction form
    186,025/278,310 = 278,310/x
  3. Step 3: Cross multiply
    186,025x = 278,310 × 278,310
  4. Step 4: Simplify right side
    186,025x = 77,456,456,100
  5. Step 5: Solve for x
    x = 77,456,456,100/186,025
  6. Step 6: Final answer
    x = 416,376.60

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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.