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Finding the Third Proportional to 238,502 and 334,263

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Solution

The third proportional to 238,502 and 334,263 is: 468,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,502 : 334,263 = 334,263 : x
  2. Step 2: Convert to fraction form
    238,502/334,263 = 334,263/x
  3. Step 3: Cross multiply
    238,502x = 334,263 × 334,263
  4. Step 4: Simplify right side
    238,502x = 111,731,753,169
  5. Step 5: Solve for x
    x = 111,731,753,169/238,502
  6. Step 6: Final answer
    x = 468,473.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.