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Finding the Third Proportional to 114,480 and 168,409.13

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Solution

The third proportional to 114,480 and 168,409.13 is: 247,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,480 : 168,409.13 = 168,409.13 : x
  2. Step 2: Convert to fraction form
    114,480/168,409.13 = 168,409.13/x
  3. Step 3: Cross multiply
    114,480x = 168,409.13 × 168,409.13
  4. Step 4: Simplify right side
    114,480x = 28,361,633,383.27
  5. Step 5: Solve for x
    x = 28,361,633,383.27/114,480
  6. Step 6: Final answer
    x = 247,743.13

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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.