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Finding the Third Proportional to 207,996.19 and 297,232.03

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Solution

The third proportional to 207,996.19 and 297,232.03 is: 424,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,996.19 : 297,232.03 = 297,232.03 : x
  2. Step 2: Convert to fraction form
    207,996.19/297,232.03 = 297,232.03/x
  3. Step 3: Cross multiply
    207,996.19x = 297,232.03 × 297,232.03
  4. Step 4: Simplify right side
    207,996.19x = 88,346,880,401.00
  5. Step 5: Solve for x
    x = 88,346,880,401.00/207,996.19
  6. Step 6: Final answer
    x = 424,752.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.