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Finding the Third Proportional to 195,480 and 293,166

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Solution

The third proportional to 195,480 and 293,166 is: 439,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,480 : 293,166 = 293,166 : x
  2. Step 2: Convert to fraction form
    195,480/293,166 = 293,166/x
  3. Step 3: Cross multiply
    195,480x = 293,166 × 293,166
  4. Step 4: Simplify right side
    195,480x = 85,946,303,556
  5. Step 5: Solve for x
    x = 85,946,303,556/195,480
  6. Step 6: Final answer
    x = 439,668.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.