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Finding the Third Proportional to 132,535.41 and 210,682.69

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Solution

The third proportional to 132,535.41 and 210,682.69 is: 334,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,535.41 : 210,682.69 = 210,682.69 : x
  2. Step 2: Convert to fraction form
    132,535.41/210,682.69 = 210,682.69/x
  3. Step 3: Cross multiply
    132,535.41x = 210,682.69 × 210,682.69
  4. Step 4: Simplify right side
    132,535.41x = 44,387,194,812.22
  5. Step 5: Solve for x
    x = 44,387,194,812.22/132,535.41
  6. Step 6: Final answer
    x = 334,908.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.