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Finding the Third Proportional to 154,582 and 335,601.50

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Solution

The third proportional to 154,582 and 335,601.50 is: 728,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,582 : 335,601.50 = 335,601.50 : x
  2. Step 2: Convert to fraction form
    154,582/335,601.50 = 335,601.50/x
  3. Step 3: Cross multiply
    154,582x = 335,601.50 × 335,601.50
  4. Step 4: Simplify right side
    154,582x = 112,628,366,802.25
  5. Step 5: Solve for x
    x = 112,628,366,802.25/154,582
  6. Step 6: Final answer
    x = 728,599.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.