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Finding the Third Proportional to 172,034 and 265,713

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Solution

The third proportional to 172,034 and 265,713 is: 410,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,034 : 265,713 = 265,713 : x
  2. Step 2: Convert to fraction form
    172,034/265,713 = 265,713/x
  3. Step 3: Cross multiply
    172,034x = 265,713 × 265,713
  4. Step 4: Simplify right side
    172,034x = 70,603,398,369
  5. Step 5: Solve for x
    x = 70,603,398,369/172,034
  6. Step 6: Final answer
    x = 410,403.75

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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.