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Finding the Third Proportional to 186,098 and 265,808

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Solution

The third proportional to 186,098 and 265,808 is: 379,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,098 : 265,808 = 265,808 : x
  2. Step 2: Convert to fraction form
    186,098/265,808 = 265,808/x
  3. Step 3: Cross multiply
    186,098x = 265,808 × 265,808
  4. Step 4: Simplify right side
    186,098x = 70,653,892,864
  5. Step 5: Solve for x
    x = 70,653,892,864/186,098
  6. Step 6: Final answer
    x = 379,659.60

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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.