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Finding the Third Proportional to 208,040 and 322,764

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Solution

The third proportional to 208,040 and 322,764 is: 500,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,040 : 322,764 = 322,764 : x
  2. Step 2: Convert to fraction form
    208,040/322,764 = 322,764/x
  3. Step 3: Cross multiply
    208,040x = 322,764 × 322,764
  4. Step 4: Simplify right side
    208,040x = 104,176,599,696
  5. Step 5: Solve for x
    x = 104,176,599,696/208,040
  6. Step 6: Final answer
    x = 500,752.74

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Why These Related Problems?

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