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Finding the Third Proportional to 186,094 and 265,803

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Solution

The third proportional to 186,094 and 265,803 is: 379,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,094 : 265,803 = 265,803 : x
  2. Step 2: Convert to fraction form
    186,094/265,803 = 265,803/x
  3. Step 3: Cross multiply
    186,094x = 265,803 × 265,803
  4. Step 4: Simplify right side
    186,094x = 70,651,234,809
  5. Step 5: Solve for x
    x = 70,651,234,809/186,094
  6. Step 6: Final answer
    x = 379,653.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.