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Finding the Third Proportional to 234,153 and 334,599.75

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Solution

The third proportional to 234,153 and 334,599.75 is: 478,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,153 : 334,599.75 = 334,599.75 : x
  2. Step 2: Convert to fraction form
    234,153/334,599.75 = 334,599.75/x
  3. Step 3: Cross multiply
    234,153x = 334,599.75 × 334,599.75
  4. Step 4: Simplify right side
    234,153x = 111,956,992,700.06
  5. Step 5: Solve for x
    x = 111,956,992,700.06/234,153
  6. Step 6: Final answer
    x = 478,136.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.