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Finding the Third Proportional to 186,509.25 and 281,323.13

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Solution

The third proportional to 186,509.25 and 281,323.13 is: 424,336.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,509.25 : 281,323.13 = 281,323.13 : x
  2. Step 2: Convert to fraction form
    186,509.25/281,323.13 = 281,323.13/x
  3. Step 3: Cross multiply
    186,509.25x = 281,323.13 × 281,323.13
  4. Step 4: Simplify right side
    186,509.25x = 79,142,700,659.77
  5. Step 5: Solve for x
    x = 79,142,700,659.77/186,509.25
  6. Step 6: Final answer
    x = 424,336.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.