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Finding the Third Proportional to 119,205 and 260,556.75

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Solution

The third proportional to 119,205 and 260,556.75 is: 569,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,205 : 260,556.75 = 260,556.75 : x
  2. Step 2: Convert to fraction form
    119,205/260,556.75 = 260,556.75/x
  3. Step 3: Cross multiply
    119,205x = 260,556.75 × 260,556.75
  4. Step 4: Simplify right side
    119,205x = 67,889,819,970.56
  5. Step 5: Solve for x
    x = 67,889,819,970.56/119,205
  6. Step 6: Final answer
    x = 569,521.58

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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.