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Finding the Third Proportional to 207,437.16 and 320,369.34

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Solution

The third proportional to 207,437.16 and 320,369.34 is: 494,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,437.16 : 320,369.34 = 320,369.34 : x
  2. Step 2: Convert to fraction form
    207,437.16/320,369.34 = 320,369.34/x
  3. Step 3: Cross multiply
    207,437.16x = 320,369.34 × 320,369.34
  4. Step 4: Simplify right side
    207,437.16x = 102,636,512,191.17
  5. Step 5: Solve for x
    x = 102,636,512,191.17/207,437.16
  6. Step 6: Final answer
    x = 494,783.63

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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.