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Finding the Third Proportional to 146.71 and 307.55

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Solution

The third proportional to 146.71 and 307.55 is: 644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.71 : 307.55 = 307.55 : x
  2. Step 2: Convert to fraction form
    146.71/307.55 = 307.55/x
  3. Step 3: Cross multiply
    146.71x = 307.55 × 307.55
  4. Step 4: Simplify right side
    146.71x = 94,585.08
  5. Step 5: Solve for x
    x = 94,585.08/146.71
  6. Step 6: Final answer
    x = 644.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.