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Finding the Third Proportional to 155,836.50 and 336,276

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Solution

The third proportional to 155,836.50 and 336,276 is: 725,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,836.50 : 336,276 = 336,276 : x
  2. Step 2: Convert to fraction form
    155,836.50/336,276 = 336,276/x
  3. Step 3: Cross multiply
    155,836.50x = 336,276 × 336,276
  4. Step 4: Simplify right side
    155,836.50x = 113,081,548,176
  5. Step 5: Solve for x
    x = 113,081,548,176/155,836.50
  6. Step 6: Final answer
    x = 725,642.25

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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.