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Finding the Third Proportional to 145.44 and 207.35

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Solution

The third proportional to 145.44 and 207.35 is: 295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.44 : 207.35 = 207.35 : x
  2. Step 2: Convert to fraction form
    145.44/207.35 = 207.35/x
  3. Step 3: Cross multiply
    145.44x = 207.35 × 207.35
  4. Step 4: Simplify right side
    145.44x = 42,994.67
  5. Step 5: Solve for x
    x = 42,994.67/145.44
  6. Step 6: Final answer
    x = 295.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.