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Finding the Third Proportional to 144,820 and 202,317

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Solution

The third proportional to 144,820 and 202,317 is: 282,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,820 : 202,317 = 202,317 : x
  2. Step 2: Convert to fraction form
    144,820/202,317 = 202,317/x
  3. Step 3: Cross multiply
    144,820x = 202,317 × 202,317
  4. Step 4: Simplify right side
    144,820x = 40,932,168,489
  5. Step 5: Solve for x
    x = 40,932,168,489/144,820
  6. Step 6: Final answer
    x = 282,641.68

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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.