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Finding the Third Proportional to 110,460 and 172,798

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Solution

The third proportional to 110,460 and 172,798 is: 270,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,460 : 172,798 = 172,798 : x
  2. Step 2: Convert to fraction form
    110,460/172,798 = 172,798/x
  3. Step 3: Cross multiply
    110,460x = 172,798 × 172,798
  4. Step 4: Simplify right side
    110,460x = 29,859,148,804
  5. Step 5: Solve for x
    x = 29,859,148,804/110,460
  6. Step 6: Final answer
    x = 270,316.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.