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Finding the Third Proportional to 202,376 and 297,003

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Solution

The third proportional to 202,376 and 297,003 is: 435,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,376 : 297,003 = 297,003 : x
  2. Step 2: Convert to fraction form
    202,376/297,003 = 297,003/x
  3. Step 3: Cross multiply
    202,376x = 297,003 × 297,003
  4. Step 4: Simplify right side
    202,376x = 88,210,782,009
  5. Step 5: Solve for x
    x = 88,210,782,009/202,376
  6. Step 6: Final answer
    x = 435,875.71

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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.