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Finding the Third Proportional to 201,605.50 and 297,811.50

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Solution

The third proportional to 201,605.50 and 297,811.50 is: 439,926.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,605.50 : 297,811.50 = 297,811.50 : x
  2. Step 2: Convert to fraction form
    201,605.50/297,811.50 = 297,811.50/x
  3. Step 3: Cross multiply
    201,605.50x = 297,811.50 × 297,811.50
  4. Step 4: Simplify right side
    201,605.50x = 88,691,689,532.25
  5. Step 5: Solve for x
    x = 88,691,689,532.25/201,605.50
  6. Step 6: Final answer
    x = 439,926.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.