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Finding the Third Proportional to 186,684 and 288,276

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Solution

The third proportional to 186,684 and 288,276 is: 445,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,684 : 288,276 = 288,276 : x
  2. Step 2: Convert to fraction form
    186,684/288,276 = 288,276/x
  3. Step 3: Cross multiply
    186,684x = 288,276 × 288,276
  4. Step 4: Simplify right side
    186,684x = 83,103,052,176
  5. Step 5: Solve for x
    x = 83,103,052,176/186,684
  6. Step 6: Final answer
    x = 445,153.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.