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Finding the Third Proportional to 115,482 and 260,835

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Solution

The third proportional to 115,482 and 260,835 is: 589,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,482 : 260,835 = 260,835 : x
  2. Step 2: Convert to fraction form
    115,482/260,835 = 260,835/x
  3. Step 3: Cross multiply
    115,482x = 260,835 × 260,835
  4. Step 4: Simplify right side
    115,482x = 68,034,897,225
  5. Step 5: Solve for x
    x = 68,034,897,225/115,482
  6. Step 6: Final answer
    x = 589,138.54

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.