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Finding the Third Proportional to 202,391 and 297,024.50

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Solution

The third proportional to 202,391 and 297,024.50 is: 435,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,391 : 297,024.50 = 297,024.50 : x
  2. Step 2: Convert to fraction form
    202,391/297,024.50 = 297,024.50/x
  3. Step 3: Cross multiply
    202,391x = 297,024.50 × 297,024.50
  4. Step 4: Simplify right side
    202,391x = 88,223,553,600.25
  5. Step 5: Solve for x
    x = 88,223,553,600.25/202,391
  6. Step 6: Final answer
    x = 435,906.51

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