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Finding the Third Proportional to 144,829 and 202,330

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Solution

The third proportional to 144,829 and 202,330 is: 282,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,829 : 202,330 = 202,330 : x
  2. Step 2: Convert to fraction form
    144,829/202,330 = 202,330/x
  3. Step 3: Cross multiply
    144,829x = 202,330 × 202,330
  4. Step 4: Simplify right side
    144,829x = 40,937,428,900
  5. Step 5: Solve for x
    x = 40,937,428,900/144,829
  6. Step 6: Final answer
    x = 282,660.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.