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Finding the Third Proportional to 145.50 and 309

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Solution

The third proportional to 145.50 and 309 is: 656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.50 : 309 = 309 : x
  2. Step 2: Convert to fraction form
    145.50/309 = 309/x
  3. Step 3: Cross multiply
    145.50x = 309 × 309
  4. Step 4: Simplify right side
    145.50x = 95,481
  5. Step 5: Solve for x
    x = 95,481/145.50
  6. Step 6: Final answer
    x = 656.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.