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Finding the Third Proportional to 211,194 and 429,721.50

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Solution

The third proportional to 211,194 and 429,721.50 is: 874,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,194 : 429,721.50 = 429,721.50 : x
  2. Step 2: Convert to fraction form
    211,194/429,721.50 = 429,721.50/x
  3. Step 3: Cross multiply
    211,194x = 429,721.50 × 429,721.50
  4. Step 4: Simplify right side
    211,194x = 184,660,567,562.25
  5. Step 5: Solve for x
    x = 184,660,567,562.25/211,194
  6. Step 6: Final answer
    x = 874,364.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.