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Finding the Third Proportional to 208,129.50 and 297,411.75

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Solution

The third proportional to 208,129.50 and 297,411.75 is: 424,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,129.50 : 297,411.75 = 297,411.75 : x
  2. Step 2: Convert to fraction form
    208,129.50/297,411.75 = 297,411.75/x
  3. Step 3: Cross multiply
    208,129.50x = 297,411.75 × 297,411.75
  4. Step 4: Simplify right side
    208,129.50x = 88,453,749,038.06
  5. Step 5: Solve for x
    x = 88,453,749,038.06/208,129.50
  6. Step 6: Final answer
    x = 424,993.81

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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.