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Finding the Third Proportional to 207,912 and 297,316

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Solution

The third proportional to 207,912 and 297,316 is: 425,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,912 : 297,316 = 297,316 : x
  2. Step 2: Convert to fraction form
    207,912/297,316 = 297,316/x
  3. Step 3: Cross multiply
    207,912x = 297,316 × 297,316
  4. Step 4: Simplify right side
    207,912x = 88,396,803,856
  5. Step 5: Solve for x
    x = 88,396,803,856/207,912
  6. Step 6: Final answer
    x = 425,164.51

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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.