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Finding the Third Proportional to 189,729.84 and 288,479.81

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Solution

The third proportional to 189,729.84 and 288,479.81 is: 438,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,729.84 : 288,479.81 = 288,479.81 : x
  2. Step 2: Convert to fraction form
    189,729.84/288,479.81 = 288,479.81/x
  3. Step 3: Cross multiply
    189,729.84x = 288,479.81 × 288,479.81
  4. Step 4: Simplify right side
    189,729.84x = 83,220,602,220.04
  5. Step 5: Solve for x
    x = 83,220,602,220.04/189,729.84
  6. Step 6: Final answer
    x = 438,626.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.