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Finding the Third Proportional to 121,499.44 and 265,107.94

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Solution

The third proportional to 121,499.44 and 265,107.94 is: 578,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,499.44 : 265,107.94 = 265,107.94 : x
  2. Step 2: Convert to fraction form
    121,499.44/265,107.94 = 265,107.94/x
  3. Step 3: Cross multiply
    121,499.44x = 265,107.94 × 265,107.94
  4. Step 4: Simplify right side
    121,499.44x = 70,282,218,525.50
  5. Step 5: Solve for x
    x = 70,282,218,525.50/121,499.44
  6. Step 6: Final answer
    x = 578,457.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.