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Finding the Third Proportional to 119,466.75 and 260,666.25

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Solution

The third proportional to 119,466.75 and 260,666.25 is: 568,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,466.75 : 260,666.25 = 260,666.25 : x
  2. Step 2: Convert to fraction form
    119,466.75/260,666.25 = 260,666.25/x
  3. Step 3: Cross multiply
    119,466.75x = 260,666.25 × 260,666.25
  4. Step 4: Simplify right side
    119,466.75x = 67,946,893,889.06
  5. Step 5: Solve for x
    x = 67,946,893,889.06/119,466.75
  6. Step 6: Final answer
    x = 568,751.51

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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.