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Finding the Third Proportional to 169,080 and 362,148

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Solution

The third proportional to 169,080 and 362,148 is: 775,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,080 : 362,148 = 362,148 : x
  2. Step 2: Convert to fraction form
    169,080/362,148 = 362,148/x
  3. Step 3: Cross multiply
    169,080x = 362,148 × 362,148
  4. Step 4: Simplify right side
    169,080x = 131,151,173,904
  5. Step 5: Solve for x
    x = 131,151,173,904/169,080
  6. Step 6: Final answer
    x = 775,675.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.