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Finding the Third Proportional to 134,596.41 and 208,511.72

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Solution

The third proportional to 134,596.41 and 208,511.72 is: 323,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,596.41 : 208,511.72 = 208,511.72 : x
  2. Step 2: Convert to fraction form
    134,596.41/208,511.72 = 208,511.72/x
  3. Step 3: Cross multiply
    134,596.41x = 208,511.72 × 208,511.72
  4. Step 4: Simplify right side
    134,596.41x = 43,477,136,856.08
  5. Step 5: Solve for x
    x = 43,477,136,856.08/134,596.41
  6. Step 6: Final answer
    x = 323,018.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.