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Finding the Third Proportional to 136,266 and 293,250

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Solution

The third proportional to 136,266 and 293,250 is: 631,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,266 : 293,250 = 293,250 : x
  2. Step 2: Convert to fraction form
    136,266/293,250 = 293,250/x
  3. Step 3: Cross multiply
    136,266x = 293,250 × 293,250
  4. Step 4: Simplify right side
    136,266x = 85,995,562,500
  5. Step 5: Solve for x
    x = 85,995,562,500/136,266
  6. Step 6: Final answer
    x = 631,085.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.