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Finding the Third Proportional to 186.50 and 294

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Solution

The third proportional to 186.50 and 294 is: 463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 294 = 294 : x
  2. Step 2: Convert to fraction form
    186.50/294 = 294/x
  3. Step 3: Cross multiply
    186.50x = 294 × 294
  4. Step 4: Simplify right side
    186.50x = 86,436
  5. Step 5: Solve for x
    x = 86,436/186.50
  6. Step 6: Final answer
    x = 463.46

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