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Finding the Third Proportional to 186,738.75 and 268,444.13

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Solution

The third proportional to 186,738.75 and 268,444.13 is: 385,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,738.75 : 268,444.13 = 268,444.13 : x
  2. Step 2: Convert to fraction form
    186,738.75/268,444.13 = 268,444.13/x
  3. Step 3: Cross multiply
    186,738.75x = 268,444.13 × 268,444.13
  4. Step 4: Simplify right side
    186,738.75x = 72,062,248,247.02
  5. Step 5: Solve for x
    x = 72,062,248,247.02/186,738.75
  6. Step 6: Final answer
    x = 385,898.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.