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Finding the Third Proportional to 186,581 and 402,634

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Solution

The third proportional to 186,581 and 402,634 is: 868,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,581 : 402,634 = 402,634 : x
  2. Step 2: Convert to fraction form
    186,581/402,634 = 402,634/x
  3. Step 3: Cross multiply
    186,581x = 402,634 × 402,634
  4. Step 4: Simplify right side
    186,581x = 162,114,137,956
  5. Step 5: Solve for x
    x = 162,114,137,956/186,581
  6. Step 6: Final answer
    x = 868,867.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.