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Finding the Third Proportional to 119,533 and 260,095

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Solution

The third proportional to 119,533 and 260,095 is: 565,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,533 : 260,095 = 260,095 : x
  2. Step 2: Convert to fraction form
    119,533/260,095 = 260,095/x
  3. Step 3: Cross multiply
    119,533x = 260,095 × 260,095
  4. Step 4: Simplify right side
    119,533x = 67,649,409,025
  5. Step 5: Solve for x
    x = 67,649,409,025/119,533
  6. Step 6: Final answer
    x = 565,947.55

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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.