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Finding the Third Proportional to 186,646 and 287,273

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Solution

The third proportional to 186,646 and 287,273 is: 442,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,646 : 287,273 = 287,273 : x
  2. Step 2: Convert to fraction form
    186,646/287,273 = 287,273/x
  3. Step 3: Cross multiply
    186,646x = 287,273 × 287,273
  4. Step 4: Simplify right side
    186,646x = 82,525,776,529
  5. Step 5: Solve for x
    x = 82,525,776,529/186,646
  6. Step 6: Final answer
    x = 442,151.33

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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.