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Finding the Third Proportional to 104,994 and 230,401.50

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Solution

The third proportional to 104,994 and 230,401.50 is: 505,598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,994 : 230,401.50 = 230,401.50 : x
  2. Step 2: Convert to fraction form
    104,994/230,401.50 = 230,401.50/x
  3. Step 3: Cross multiply
    104,994x = 230,401.50 × 230,401.50
  4. Step 4: Simplify right side
    104,994x = 53,084,851,202.25
  5. Step 5: Solve for x
    x = 53,084,851,202.25/104,994
  6. Step 6: Final answer
    x = 505,598.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.