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Finding the Third Proportional to 174,380 and 269,346

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Solution

The third proportional to 174,380 and 269,346 is: 416,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,380 : 269,346 = 269,346 : x
  2. Step 2: Convert to fraction form
    174,380/269,346 = 269,346/x
  3. Step 3: Cross multiply
    174,380x = 269,346 × 269,346
  4. Step 4: Simplify right side
    174,380x = 72,547,267,716
  5. Step 5: Solve for x
    x = 72,547,267,716/174,380
  6. Step 6: Final answer
    x = 416,029.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.