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Finding the Third Proportional to 189,484.31 and 286,200.84

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Solution

The third proportional to 189,484.31 and 286,200.84 is: 432,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,484.31 : 286,200.84 = 286,200.84 : x
  2. Step 2: Convert to fraction form
    189,484.31/286,200.84 = 286,200.84/x
  3. Step 3: Cross multiply
    189,484.31x = 286,200.84 × 286,200.84
  4. Step 4: Simplify right side
    189,484.31x = 81,910,922,963.21
  5. Step 5: Solve for x
    x = 81,910,922,963.21/189,484.31
  6. Step 6: Final answer
    x = 432,283.40

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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.