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Finding the Third Proportional to 195,990 and 293,445

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Solution

The third proportional to 195,990 and 293,445 is: 439,358.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,990 : 293,445 = 293,445 : x
  2. Step 2: Convert to fraction form
    195,990/293,445 = 293,445/x
  3. Step 3: Cross multiply
    195,990x = 293,445 × 293,445
  4. Step 4: Simplify right side
    195,990x = 86,109,968,025
  5. Step 5: Solve for x
    x = 86,109,968,025/195,990
  6. Step 6: Final answer
    x = 439,358.99

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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.