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Finding the Third Proportional to 128,746 and 269,260

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Solution

The third proportional to 128,746 and 269,260 is: 563,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,746 : 269,260 = 269,260 : x
  2. Step 2: Convert to fraction form
    128,746/269,260 = 269,260/x
  3. Step 3: Cross multiply
    128,746x = 269,260 × 269,260
  4. Step 4: Simplify right side
    128,746x = 72,500,947,600
  5. Step 5: Solve for x
    x = 72,500,947,600/128,746
  6. Step 6: Final answer
    x = 563,131.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.