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Finding the Third Proportional to 114,484.50 and 168,293

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Solution

The third proportional to 114,484.50 and 168,293 is: 247,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,484.50 : 168,293 = 168,293 : x
  2. Step 2: Convert to fraction form
    114,484.50/168,293 = 168,293/x
  3. Step 3: Cross multiply
    114,484.50x = 168,293 × 168,293
  4. Step 4: Simplify right side
    114,484.50x = 28,322,533,849
  5. Step 5: Solve for x
    x = 28,322,533,849/114,484.50
  6. Step 6: Final answer
    x = 247,391.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.