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Finding the Third Proportional to 210,535.88 and 323,613.56

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Solution

The third proportional to 210,535.88 and 323,613.56 is: 497,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,535.88 : 323,613.56 = 323,613.56 : x
  2. Step 2: Convert to fraction form
    210,535.88/323,613.56 = 323,613.56/x
  3. Step 3: Cross multiply
    210,535.88x = 323,613.56 × 323,613.56
  4. Step 4: Simplify right side
    210,535.88x = 104,725,737,833.94
  5. Step 5: Solve for x
    x = 104,725,737,833.94/210,535.88
  6. Step 6: Final answer
    x = 497,424.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.