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Finding the Third Proportional to 208,023.75 and 297,256.50

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Solution

The third proportional to 208,023.75 and 297,256.50 is: 424,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,023.75 : 297,256.50 = 297,256.50 : x
  2. Step 2: Convert to fraction form
    208,023.75/297,256.50 = 297,256.50/x
  3. Step 3: Cross multiply
    208,023.75x = 297,256.50 × 297,256.50
  4. Step 4: Simplify right side
    208,023.75x = 88,361,426,792.25
  5. Step 5: Solve for x
    x = 88,361,426,792.25/208,023.75
  6. Step 6: Final answer
    x = 424,766.05

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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.