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Finding the Third Proportional to 155,881.50 and 334,929

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Solution

The third proportional to 155,881.50 and 334,929 is: 719,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,881.50 : 334,929 = 334,929 : x
  2. Step 2: Convert to fraction form
    155,881.50/334,929 = 334,929/x
  3. Step 3: Cross multiply
    155,881.50x = 334,929 × 334,929
  4. Step 4: Simplify right side
    155,881.50x = 112,177,435,041
  5. Step 5: Solve for x
    x = 112,177,435,041/155,881.50
  6. Step 6: Final answer
    x = 719,632.77

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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.