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Finding the Third Proportional to 119,525.63 and 260,784.56

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Solution

The third proportional to 119,525.63 and 260,784.56 is: 568,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,525.63 : 260,784.56 = 260,784.56 : x
  2. Step 2: Convert to fraction form
    119,525.63/260,784.56 = 260,784.56/x
  3. Step 3: Cross multiply
    119,525.63x = 260,784.56 × 260,784.56
  4. Step 4: Simplify right side
    119,525.63x = 68,008,588,038.32
  5. Step 5: Solve for x
    x = 68,008,588,038.32/119,525.63
  6. Step 6: Final answer
    x = 568,987.51

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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.