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Finding the Third Proportional to 234,002.25 and 334,391.63

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Solution

The third proportional to 234,002.25 and 334,391.63 is: 477,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,002.25 : 334,391.63 = 334,391.63 : x
  2. Step 2: Convert to fraction form
    234,002.25/334,391.63 = 334,391.63/x
  3. Step 3: Cross multiply
    234,002.25x = 334,391.63 × 334,391.63
  4. Step 4: Simplify right side
    234,002.25x = 111,817,758,870.14
  5. Step 5: Solve for x
    x = 111,817,758,870.14/234,002.25
  6. Step 6: Final answer
    x = 477,849.08

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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.