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Finding the Third Proportional to 195,209 and 265,164

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Solution

The third proportional to 195,209 and 265,164 is: 360,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,209 : 265,164 = 265,164 : x
  2. Step 2: Convert to fraction form
    195,209/265,164 = 265,164/x
  3. Step 3: Cross multiply
    195,209x = 265,164 × 265,164
  4. Step 4: Simplify right side
    195,209x = 70,311,946,896
  5. Step 5: Solve for x
    x = 70,311,946,896/195,209
  6. Step 6: Final answer
    x = 360,188.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.