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Finding the Third Proportional to 238,552 and 334,360

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Solution

The third proportional to 238,552 and 334,360 is: 468,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,552 : 334,360 = 334,360 : x
  2. Step 2: Convert to fraction form
    238,552/334,360 = 334,360/x
  3. Step 3: Cross multiply
    238,552x = 334,360 × 334,360
  4. Step 4: Simplify right side
    238,552x = 111,796,609,600
  5. Step 5: Solve for x
    x = 111,796,609,600/238,552
  6. Step 6: Final answer
    x = 468,646.71

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