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Finding the Third Proportional to 207,984 and 297,208.50

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Solution

The third proportional to 207,984 and 297,208.50 is: 424,710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,984 : 297,208.50 = 297,208.50 : x
  2. Step 2: Convert to fraction form
    207,984/297,208.50 = 297,208.50/x
  3. Step 3: Cross multiply
    207,984x = 297,208.50 × 297,208.50
  4. Step 4: Simplify right side
    207,984x = 88,332,892,472.25
  5. Step 5: Solve for x
    x = 88,332,892,472.25/207,984
  6. Step 6: Final answer
    x = 424,710.04

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