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Finding the Third Proportional to 186,808 and 256,884

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Solution

The third proportional to 186,808 and 256,884 is: 353,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,808 : 256,884 = 256,884 : x
  2. Step 2: Convert to fraction form
    186,808/256,884 = 256,884/x
  3. Step 3: Cross multiply
    186,808x = 256,884 × 256,884
  4. Step 4: Simplify right side
    186,808x = 65,989,389,456
  5. Step 5: Solve for x
    x = 65,989,389,456/186,808
  6. Step 6: Final answer
    x = 353,247.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.