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Finding the Third Proportional to 154,160 and 334,526

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Solution

The third proportional to 154,160 and 334,526 is: 725,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,160 : 334,526 = 334,526 : x
  2. Step 2: Convert to fraction form
    154,160/334,526 = 334,526/x
  3. Step 3: Cross multiply
    154,160x = 334,526 × 334,526
  4. Step 4: Simplify right side
    154,160x = 111,907,644,676
  5. Step 5: Solve for x
    x = 111,907,644,676/154,160
  6. Step 6: Final answer
    x = 725,918.82

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Why These Related Problems?

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