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Finding the Third Proportional to 63,200 and 146,312

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Solution

The third proportional to 63,200 and 146,312 is: 338,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,200 : 146,312 = 146,312 : x
  2. Step 2: Convert to fraction form
    63,200/146,312 = 146,312/x
  3. Step 3: Cross multiply
    63,200x = 146,312 × 146,312
  4. Step 4: Simplify right side
    63,200x = 21,407,201,344
  5. Step 5: Solve for x
    x = 21,407,201,344/63,200
  6. Step 6: Final answer
    x = 338,721.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.