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Finding the Third Proportional to 162,533.11 and 215,662.92

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Solution

The third proportional to 162,533.11 and 215,662.92 is: 286,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,533.11 : 215,662.92 = 215,662.92 : x
  2. Step 2: Convert to fraction form
    162,533.11/215,662.92 = 215,662.92/x
  3. Step 3: Cross multiply
    162,533.11x = 215,662.92 × 215,662.92
  4. Step 4: Simplify right side
    162,533.11x = 46,510,495,871.66
  5. Step 5: Solve for x
    x = 46,510,495,871.66/162,533.11
  6. Step 6: Final answer
    x = 286,160.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.