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Finding the Third Proportional to 207,914 and 297,319

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Solution

The third proportional to 207,914 and 297,319 is: 425,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,914 : 297,319 = 297,319 : x
  2. Step 2: Convert to fraction form
    207,914/297,319 = 297,319/x
  3. Step 3: Cross multiply
    207,914x = 297,319 × 297,319
  4. Step 4: Simplify right side
    207,914x = 88,398,587,761
  5. Step 5: Solve for x
    x = 88,398,587,761/207,914
  6. Step 6: Final answer
    x = 425,169.00

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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.