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Finding the Third Proportional to 154,954 and 235,518

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Solution

The third proportional to 154,954 and 235,518 is: 357,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,954 : 235,518 = 235,518 : x
  2. Step 2: Convert to fraction form
    154,954/235,518 = 235,518/x
  3. Step 3: Cross multiply
    154,954x = 235,518 × 235,518
  4. Step 4: Simplify right side
    154,954x = 55,468,728,324
  5. Step 5: Solve for x
    x = 55,468,728,324/154,954
  6. Step 6: Final answer
    x = 357,969.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.