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Finding the Third Proportional to 202,389.50 and 297,023

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Solution

The third proportional to 202,389.50 and 297,023 is: 435,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,389.50 : 297,023 = 297,023 : x
  2. Step 2: Convert to fraction form
    202,389.50/297,023 = 297,023/x
  3. Step 3: Cross multiply
    202,389.50x = 297,023 × 297,023
  4. Step 4: Simplify right side
    202,389.50x = 88,222,662,529
  5. Step 5: Solve for x
    x = 88,222,662,529/202,389.50
  6. Step 6: Final answer
    x = 435,905.33

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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.