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Finding the Third Proportional to 205,210 and 438,791.50

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Solution

The third proportional to 205,210 and 438,791.50 is: 938,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,210 : 438,791.50 = 438,791.50 : x
  2. Step 2: Convert to fraction form
    205,210/438,791.50 = 438,791.50/x
  3. Step 3: Cross multiply
    205,210x = 438,791.50 × 438,791.50
  4. Step 4: Simplify right side
    205,210x = 192,537,980,472.25
  5. Step 5: Solve for x
    x = 192,537,980,472.25/205,210
  6. Step 6: Final answer
    x = 938,248.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.