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Finding the Third Proportional to 162,535.36 and 215,666.93

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Solution

The third proportional to 162,535.36 and 215,666.93 is: 286,166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,535.36 : 215,666.93 = 215,666.93 : x
  2. Step 2: Convert to fraction form
    162,535.36/215,666.93 = 215,666.93/x
  3. Step 3: Cross multiply
    162,535.36x = 215,666.93 × 215,666.93
  4. Step 4: Simplify right side
    162,535.36x = 46,512,224,560.83
  5. Step 5: Solve for x
    x = 46,512,224,560.83/162,535.36
  6. Step 6: Final answer
    x = 286,166.81

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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.