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Finding the Third Proportional to 155,994 and 319,380

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Solution

The third proportional to 155,994 and 319,380 is: 653,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,994 : 319,380 = 319,380 : x
  2. Step 2: Convert to fraction form
    155,994/319,380 = 319,380/x
  3. Step 3: Cross multiply
    155,994x = 319,380 × 319,380
  4. Step 4: Simplify right side
    155,994x = 102,003,584,400
  5. Step 5: Solve for x
    x = 102,003,584,400/155,994
  6. Step 6: Final answer
    x = 653,894.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.