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Finding the Third Proportional to 233,940 and 334,543

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Solution

The third proportional to 233,940 and 334,543 is: 478,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,940 : 334,543 = 334,543 : x
  2. Step 2: Convert to fraction form
    233,940/334,543 = 334,543/x
  3. Step 3: Cross multiply
    233,940x = 334,543 × 334,543
  4. Step 4: Simplify right side
    233,940x = 111,919,018,849
  5. Step 5: Solve for x
    x = 111,919,018,849/233,940
  6. Step 6: Final answer
    x = 478,409.07

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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.