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Finding the Third Proportional to 134,609.44 and 208,405.13

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Solution

The third proportional to 134,609.44 and 208,405.13 is: 322,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,609.44 : 208,405.13 = 208,405.13 : x
  2. Step 2: Convert to fraction form
    134,609.44/208,405.13 = 208,405.13/x
  3. Step 3: Cross multiply
    134,609.44x = 208,405.13 × 208,405.13
  4. Step 4: Simplify right side
    134,609.44x = 43,432,696,126.27
  5. Step 5: Solve for x
    x = 43,432,696,126.27/134,609.44
  6. Step 6: Final answer
    x = 322,657.14

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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.