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Finding the Third Proportional to 154,967.63 and 239,464.13

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Solution

The third proportional to 154,967.63 and 239,464.13 is: 370,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,967.63 : 239,464.13 = 239,464.13 : x
  2. Step 2: Convert to fraction form
    154,967.63/239,464.13 = 239,464.13/x
  3. Step 3: Cross multiply
    154,967.63x = 239,464.13 × 239,464.13
  4. Step 4: Simplify right side
    154,967.63x = 57,343,067,162.02
  5. Step 5: Solve for x
    x = 57,343,067,162.02/154,967.63
  6. Step 6: Final answer
    x = 370,032.56

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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.