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Finding the Third Proportional to 155,994 and 239,624

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Solution

The third proportional to 155,994 and 239,624 is: 368,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,994 : 239,624 = 239,624 : x
  2. Step 2: Convert to fraction form
    155,994/239,624 = 239,624/x
  3. Step 3: Cross multiply
    155,994x = 239,624 × 239,624
  4. Step 4: Simplify right side
    155,994x = 57,419,661,376
  5. Step 5: Solve for x
    x = 57,419,661,376/155,994
  6. Step 6: Final answer
    x = 368,088.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.