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Finding the Third Proportional to 145 and 236

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Solution

The third proportional to 145 and 236 is: 384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145 : 236 = 236 : x
  2. Step 2: Convert to fraction form
    145/236 = 236/x
  3. Step 3: Cross multiply
    145x = 236 × 236
  4. Step 4: Simplify right side
    145x = 55,696
  5. Step 5: Solve for x
    x = 55,696/145
  6. Step 6: Final answer
    x = 384.11

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.