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Finding the Third Proportional to 154,244.25 and 233,006.63

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Solution

The third proportional to 154,244.25 and 233,006.63 is: 351,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,244.25 : 233,006.63 = 233,006.63 : x
  2. Step 2: Convert to fraction form
    154,244.25/233,006.63 = 233,006.63/x
  3. Step 3: Cross multiply
    154,244.25x = 233,006.63 × 233,006.63
  4. Step 4: Simplify right side
    154,244.25x = 54,292,087,293.89
  5. Step 5: Solve for x
    x = 54,292,087,293.89/154,244.25
  6. Step 6: Final answer
    x = 351,987.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.