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Finding the Third Proportional to 154,754 and 334,852

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Solution

The third proportional to 154,754 and 334,852 is: 724,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,754 : 334,852 = 334,852 : x
  2. Step 2: Convert to fraction form
    154,754/334,852 = 334,852/x
  3. Step 3: Cross multiply
    154,754x = 334,852 × 334,852
  4. Step 4: Simplify right side
    154,754x = 112,125,861,904
  5. Step 5: Solve for x
    x = 112,125,861,904/154,754
  6. Step 6: Final answer
    x = 724,542.58

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Why These Related Problems?

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