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Finding the Third Proportional to 186,644 and 287,272

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Solution

The third proportional to 186,644 and 287,272 is: 442,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,644 : 287,272 = 287,272 : x
  2. Step 2: Convert to fraction form
    186,644/287,272 = 287,272/x
  3. Step 3: Cross multiply
    186,644x = 287,272 × 287,272
  4. Step 4: Simplify right side
    186,644x = 82,525,201,984
  5. Step 5: Solve for x
    x = 82,525,201,984/186,644
  6. Step 6: Final answer
    x = 442,152.99

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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.