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Finding the Third Proportional to 202,044 and 303,066

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Solution

The third proportional to 202,044 and 303,066 is: 454,599

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,044 : 303,066 = 303,066 : x
  2. Step 2: Convert to fraction form
    202,044/303,066 = 303,066/x
  3. Step 3: Cross multiply
    202,044x = 303,066 × 303,066
  4. Step 4: Simplify right side
    202,044x = 91,849,000,356
  5. Step 5: Solve for x
    x = 91,849,000,356/202,044
  6. Step 6: Final answer
    x = 454,599

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.