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Finding the Third Proportional to 259,254 and 348,705

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Solution

The third proportional to 259,254 and 348,705 is: 469,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,254 : 348,705 = 348,705 : x
  2. Step 2: Convert to fraction form
    259,254/348,705 = 348,705/x
  3. Step 3: Cross multiply
    259,254x = 348,705 × 348,705
  4. Step 4: Simplify right side
    259,254x = 121,595,177,025
  5. Step 5: Solve for x
    x = 121,595,177,025/259,254
  6. Step 6: Final answer
    x = 469,019.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.