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Finding the Third Proportional to 154,426 and 325,052

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Solution

The third proportional to 154,426 and 325,052 is: 684,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,426 : 325,052 = 325,052 : x
  2. Step 2: Convert to fraction form
    154,426/325,052 = 325,052/x
  3. Step 3: Cross multiply
    154,426x = 325,052 × 325,052
  4. Step 4: Simplify right side
    154,426x = 105,658,802,704
  5. Step 5: Solve for x
    x = 105,658,802,704/154,426
  6. Step 6: Final answer
    x = 684,203.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.