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Finding the Third Proportional to 137,994 and 202,446

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Solution

The third proportional to 137,994 and 202,446 is: 297,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,994 : 202,446 = 202,446 : x
  2. Step 2: Convert to fraction form
    137,994/202,446 = 202,446/x
  3. Step 3: Cross multiply
    137,994x = 202,446 × 202,446
  4. Step 4: Simplify right side
    137,994x = 40,984,382,916
  5. Step 5: Solve for x
    x = 40,984,382,916/137,994
  6. Step 6: Final answer
    x = 297,001.20

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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.