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Finding the Third Proportional to 155,276 and 334,324

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Solution

The third proportional to 155,276 and 334,324 is: 719,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,276 : 334,324 = 334,324 : x
  2. Step 2: Convert to fraction form
    155,276/334,324 = 334,324/x
  3. Step 3: Cross multiply
    155,276x = 334,324 × 334,324
  4. Step 4: Simplify right side
    155,276x = 111,772,536,976
  5. Step 5: Solve for x
    x = 111,772,536,976/155,276
  6. Step 6: Final answer
    x = 719,831.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.