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Finding the Third Proportional to 100,557.56 and 155,802.94

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Solution

The third proportional to 100,557.56 and 155,802.94 is: 241,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,557.56 : 155,802.94 = 155,802.94 : x
  2. Step 2: Convert to fraction form
    100,557.56/155,802.94 = 155,802.94/x
  3. Step 3: Cross multiply
    100,557.56x = 155,802.94 × 155,802.94
  4. Step 4: Simplify right side
    100,557.56x = 24,274,555,333.63
  5. Step 5: Solve for x
    x = 24,274,555,333.63/100,557.56
  6. Step 6: Final answer
    x = 241,399.60

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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.