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Finding the Third Proportional to 207,842 and 297,219

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Solution

The third proportional to 207,842 and 297,219 is: 425,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,842 : 297,219 = 297,219 : x
  2. Step 2: Convert to fraction form
    207,842/297,219 = 297,219/x
  3. Step 3: Cross multiply
    207,842x = 297,219 × 297,219
  4. Step 4: Simplify right side
    207,842x = 88,339,133,961
  5. Step 5: Solve for x
    x = 88,339,133,961/207,842
  6. Step 6: Final answer
    x = 425,030.23

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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.