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Finding the Third Proportional to 248,994.75 and 540,210.75

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Solution

The third proportional to 248,994.75 and 540,210.75 is: 1,172,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,994.75 : 540,210.75 = 540,210.75 : x
  2. Step 2: Convert to fraction form
    248,994.75/540,210.75 = 540,210.75/x
  3. Step 3: Cross multiply
    248,994.75x = 540,210.75 × 540,210.75
  4. Step 4: Simplify right side
    248,994.75x = 291,827,654,415.56
  5. Step 5: Solve for x
    x = 291,827,654,415.56/248,994.75
  6. Step 6: Final answer
    x = 1,172,023.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.