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Finding the Third Proportional to 215,007 and 334,036.50

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Solution

The third proportional to 215,007 and 334,036.50 is: 518,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,007 : 334,036.50 = 334,036.50 : x
  2. Step 2: Convert to fraction form
    215,007/334,036.50 = 334,036.50/x
  3. Step 3: Cross multiply
    215,007x = 334,036.50 × 334,036.50
  4. Step 4: Simplify right side
    215,007x = 111,580,383,332.25
  5. Step 5: Solve for x
    x = 111,580,383,332.25/215,007
  6. Step 6: Final answer
    x = 518,961.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.