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Finding the Third Proportional to 186,678 and 409,656

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Solution

The third proportional to 186,678 and 409,656 is: 898,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,678 : 409,656 = 409,656 : x
  2. Step 2: Convert to fraction form
    186,678/409,656 = 409,656/x
  3. Step 3: Cross multiply
    186,678x = 409,656 × 409,656
  4. Step 4: Simplify right side
    186,678x = 167,818,038,336
  5. Step 5: Solve for x
    x = 167,818,038,336/186,678
  6. Step 6: Final answer
    x = 898,970.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.