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Finding the Third Proportional to 155,858 and 222,871

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Solution

The third proportional to 155,858 and 222,871 is: 318,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,858 : 222,871 = 222,871 : x
  2. Step 2: Convert to fraction form
    155,858/222,871 = 222,871/x
  3. Step 3: Cross multiply
    155,858x = 222,871 × 222,871
  4. Step 4: Simplify right side
    155,858x = 49,671,482,641
  5. Step 5: Solve for x
    x = 49,671,482,641/155,858
  6. Step 6: Final answer
    x = 318,697.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.