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Finding the Third Proportional to 195,632 and 293,328

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Solution

The third proportional to 195,632 and 293,328 is: 439,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,632 : 293,328 = 293,328 : x
  2. Step 2: Convert to fraction form
    195,632/293,328 = 293,328/x
  3. Step 3: Cross multiply
    195,632x = 293,328 × 293,328
  4. Step 4: Simplify right side
    195,632x = 86,041,315,584
  5. Step 5: Solve for x
    x = 86,041,315,584/195,632
  6. Step 6: Final answer
    x = 439,812.07

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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.