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Finding the Third Proportional to 208,144 and 297,432

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Solution

The third proportional to 208,144 and 297,432 is: 425,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,144 : 297,432 = 297,432 : x
  2. Step 2: Convert to fraction form
    208,144/297,432 = 297,432/x
  3. Step 3: Cross multiply
    208,144x = 297,432 × 297,432
  4. Step 4: Simplify right side
    208,144x = 88,465,794,624
  5. Step 5: Solve for x
    x = 88,465,794,624/208,144
  6. Step 6: Final answer
    x = 425,022.07

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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.