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Finding the Third Proportional to 155,092 and 334,940

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Solution

The third proportional to 155,092 and 334,940 is: 723,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,092 : 334,940 = 334,940 : x
  2. Step 2: Convert to fraction form
    155,092/334,940 = 334,940/x
  3. Step 3: Cross multiply
    155,092x = 334,940 × 334,940
  4. Step 4: Simplify right side
    155,092x = 112,184,803,600
  5. Step 5: Solve for x
    x = 112,184,803,600/155,092
  6. Step 6: Final answer
    x = 723,343.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.