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Finding the Third Proportional to 202,359 and 296,977

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Solution

The third proportional to 202,359 and 296,977 is: 435,836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,359 : 296,977 = 296,977 : x
  2. Step 2: Convert to fraction form
    202,359/296,977 = 296,977/x
  3. Step 3: Cross multiply
    202,359x = 296,977 × 296,977
  4. Step 4: Simplify right side
    202,359x = 88,195,338,529
  5. Step 5: Solve for x
    x = 88,195,338,529/202,359
  6. Step 6: Final answer
    x = 435,836.01

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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.