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Finding the Third Proportional to 186,566 and 295,894

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Solution

The third proportional to 186,566 and 295,894 is: 469,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,566 : 295,894 = 295,894 : x
  2. Step 2: Convert to fraction form
    186,566/295,894 = 295,894/x
  3. Step 3: Cross multiply
    186,566x = 295,894 × 295,894
  4. Step 4: Simplify right side
    186,566x = 87,553,259,236
  5. Step 5: Solve for x
    x = 87,553,259,236/186,566
  6. Step 6: Final answer
    x = 469,288.40

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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.