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Finding the Third Proportional to 269,138 and 410,259

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Solution

The third proportional to 269,138 and 410,259 is: 625,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,138 : 410,259 = 410,259 : x
  2. Step 2: Convert to fraction form
    269,138/410,259 = 410,259/x
  3. Step 3: Cross multiply
    269,138x = 410,259 × 410,259
  4. Step 4: Simplify right side
    269,138x = 168,312,447,081
  5. Step 5: Solve for x
    x = 168,312,447,081/269,138
  6. Step 6: Final answer
    x = 625,376.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.