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Finding the Third Proportional to 241,464 and 366,210

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Solution

The third proportional to 241,464 and 366,210 is: 555,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,464 : 366,210 = 366,210 : x
  2. Step 2: Convert to fraction form
    241,464/366,210 = 366,210/x
  3. Step 3: Cross multiply
    241,464x = 366,210 × 366,210
  4. Step 4: Simplify right side
    241,464x = 134,109,764,100
  5. Step 5: Solve for x
    x = 134,109,764,100/241,464
  6. Step 6: Final answer
    x = 555,402.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.