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Finding the Third Proportional to 163,080 and 259,443

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Solution

The third proportional to 163,080 and 259,443 is: 412,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,080 : 259,443 = 259,443 : x
  2. Step 2: Convert to fraction form
    163,080/259,443 = 259,443/x
  3. Step 3: Cross multiply
    163,080x = 259,443 × 259,443
  4. Step 4: Simplify right side
    163,080x = 67,310,670,249
  5. Step 5: Solve for x
    x = 67,310,670,249/163,080
  6. Step 6: Final answer
    x = 412,746.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.