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Finding the Third Proportional to 186,046 and 405,274

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Solution

The third proportional to 186,046 and 405,274 is: 882,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,046 : 405,274 = 405,274 : x
  2. Step 2: Convert to fraction form
    186,046/405,274 = 405,274/x
  3. Step 3: Cross multiply
    186,046x = 405,274 × 405,274
  4. Step 4: Simplify right side
    186,046x = 164,247,015,076
  5. Step 5: Solve for x
    x = 164,247,015,076/186,046
  6. Step 6: Final answer
    x = 882,830.13

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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.