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Finding the Third Proportional to 145.97 and 384.05

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Solution

The third proportional to 145.97 and 384.05 is: 1,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.97 : 384.05 = 384.05 : x
  2. Step 2: Convert to fraction form
    145.97/384.05 = 384.05/x
  3. Step 3: Cross multiply
    145.97x = 384.05 × 384.05
  4. Step 4: Simplify right side
    145.97x = 147,492.00
  5. Step 5: Solve for x
    x = 147,492.00/145.97
  6. Step 6: Final answer
    x = 1,010.44

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.