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Finding the Third Proportional to 155,292 and 332,994

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Solution

The third proportional to 155,292 and 332,994 is: 714,041.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,292 : 332,994 = 332,994 : x
  2. Step 2: Convert to fraction form
    155,292/332,994 = 332,994/x
  3. Step 3: Cross multiply
    155,292x = 332,994 × 332,994
  4. Step 4: Simplify right side
    155,292x = 110,885,004,036
  5. Step 5: Solve for x
    x = 110,885,004,036/155,292
  6. Step 6: Final answer
    x = 714,041.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.