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Finding the Third Proportional to 154,467 and 334,165.50

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Solution

The third proportional to 154,467 and 334,165.50 is: 722,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,467 : 334,165.50 = 334,165.50 : x
  2. Step 2: Convert to fraction form
    154,467/334,165.50 = 334,165.50/x
  3. Step 3: Cross multiply
    154,467x = 334,165.50 × 334,165.50
  4. Step 4: Simplify right side
    154,467x = 111,666,581,390.25
  5. Step 5: Solve for x
    x = 111,666,581,390.25/154,467
  6. Step 6: Final answer
    x = 722,915.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.