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Finding the Third Proportional to 146,802.38 and 168,672.38

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Solution

The third proportional to 146,802.38 and 168,672.38 is: 193,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,802.38 : 168,672.38 = 168,672.38 : x
  2. Step 2: Convert to fraction form
    146,802.38/168,672.38 = 168,672.38/x
  3. Step 3: Cross multiply
    146,802.38x = 168,672.38 × 168,672.38
  4. Step 4: Simplify right side
    146,802.38x = 28,450,370,088.14
  5. Step 5: Solve for x
    x = 28,450,370,088.14/146,802.38
  6. Step 6: Final answer
    x = 193,800.48

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.