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Finding the Third Proportional to 213,128 and 307,004

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Solution

The third proportional to 213,128 and 307,004 is: 442,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,128 : 307,004 = 307,004 : x
  2. Step 2: Convert to fraction form
    213,128/307,004 = 307,004/x
  3. Step 3: Cross multiply
    213,128x = 307,004 × 307,004
  4. Step 4: Simplify right side
    213,128x = 94,251,456,016
  5. Step 5: Solve for x
    x = 94,251,456,016/213,128
  6. Step 6: Final answer
    x = 442,229.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.