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Finding the Third Proportional to 203,056.50 and 297,657

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Solution

The third proportional to 203,056.50 and 297,657 is: 436,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,056.50 : 297,657 = 297,657 : x
  2. Step 2: Convert to fraction form
    203,056.50/297,657 = 297,657/x
  3. Step 3: Cross multiply
    203,056.50x = 297,657 × 297,657
  4. Step 4: Simplify right side
    203,056.50x = 88,599,689,649
  5. Step 5: Solve for x
    x = 88,599,689,649/203,056.50
  6. Step 6: Final answer
    x = 436,330.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.