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Finding the Third Proportional to 195,984 and 293,436

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Solution

The third proportional to 195,984 and 293,436 is: 439,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,984 : 293,436 = 293,436 : x
  2. Step 2: Convert to fraction form
    195,984/293,436 = 293,436/x
  3. Step 3: Cross multiply
    195,984x = 293,436 × 293,436
  4. Step 4: Simplify right side
    195,984x = 86,104,686,096
  5. Step 5: Solve for x
    x = 86,104,686,096/195,984
  6. Step 6: Final answer
    x = 439,345.49

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Why These Related Problems?

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