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Finding the Third Proportional to 186,188 and 294,956

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Solution

The third proportional to 186,188 and 294,956 is: 467,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,188 : 294,956 = 294,956 : x
  2. Step 2: Convert to fraction form
    186,188/294,956 = 294,956/x
  3. Step 3: Cross multiply
    186,188x = 294,956 × 294,956
  4. Step 4: Simplify right side
    186,188x = 86,999,041,936
  5. Step 5: Solve for x
    x = 86,999,041,936/186,188
  6. Step 6: Final answer
    x = 467,264.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.