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Finding the Third Proportional to 202,023 and 301,283

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Solution

The third proportional to 202,023 and 301,283 is: 449,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,023 : 301,283 = 301,283 : x
  2. Step 2: Convert to fraction form
    202,023/301,283 = 301,283/x
  3. Step 3: Cross multiply
    202,023x = 301,283 × 301,283
  4. Step 4: Simplify right side
    202,023x = 90,771,446,089
  5. Step 5: Solve for x
    x = 90,771,446,089/202,023
  6. Step 6: Final answer
    x = 449,312.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.