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Finding the Third Proportional to 154,484 and 233,904

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Solution

The third proportional to 154,484 and 233,904 is: 354,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,484 : 233,904 = 233,904 : x
  2. Step 2: Convert to fraction form
    154,484/233,904 = 233,904/x
  3. Step 3: Cross multiply
    154,484x = 233,904 × 233,904
  4. Step 4: Simplify right side
    154,484x = 54,711,081,216
  5. Step 5: Solve for x
    x = 54,711,081,216/154,484
  6. Step 6: Final answer
    x = 354,153.71

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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.