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Finding the Third Proportional to 207,466.88 and 320,411.25

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Solution

The third proportional to 207,466.88 and 320,411.25 is: 494,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,466.88 : 320,411.25 = 320,411.25 : x
  2. Step 2: Convert to fraction form
    207,466.88/320,411.25 = 320,411.25/x
  3. Step 3: Cross multiply
    207,466.88x = 320,411.25 × 320,411.25
  4. Step 4: Simplify right side
    207,466.88x = 102,663,369,126.56
  5. Step 5: Solve for x
    x = 102,663,369,126.56/207,466.88
  6. Step 6: Final answer
    x = 494,842.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.