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Finding the Third Proportional to 172,026 and 265,708

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Solution

The third proportional to 172,026 and 265,708 is: 410,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,026 : 265,708 = 265,708 : x
  2. Step 2: Convert to fraction form
    172,026/265,708 = 265,708/x
  3. Step 3: Cross multiply
    172,026x = 265,708 × 265,708
  4. Step 4: Simplify right side
    172,026x = 70,600,741,264
  5. Step 5: Solve for x
    x = 70,600,741,264/172,026
  6. Step 6: Final answer
    x = 410,407.39

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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.