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Finding the Third Proportional to 155,828.81 and 241,762.22

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Solution

The third proportional to 155,828.81 and 241,762.22 is: 375,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,828.81 : 241,762.22 = 241,762.22 : x
  2. Step 2: Convert to fraction form
    155,828.81/241,762.22 = 241,762.22/x
  3. Step 3: Cross multiply
    155,828.81x = 241,762.22 × 241,762.22
  4. Step 4: Simplify right side
    155,828.81x = 58,448,970,414.92
  5. Step 5: Solve for x
    x = 58,448,970,414.92/155,828.81
  6. Step 6: Final answer
    x = 375,084.49

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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.