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Finding the Third Proportional to 186,566 and 295,895

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Solution

The third proportional to 186,566 and 295,895 is: 469,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,566 : 295,895 = 295,895 : x
  2. Step 2: Convert to fraction form
    186,566/295,895 = 295,895/x
  3. Step 3: Cross multiply
    186,566x = 295,895 × 295,895
  4. Step 4: Simplify right side
    186,566x = 87,553,851,025
  5. Step 5: Solve for x
    x = 87,553,851,025/186,566
  6. Step 6: Final answer
    x = 469,291.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.