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Finding the Third Proportional to 169,798 and 248,680.50

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Solution

The third proportional to 169,798 and 248,680.50 is: 364,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,798 : 248,680.50 = 248,680.50 : x
  2. Step 2: Convert to fraction form
    169,798/248,680.50 = 248,680.50/x
  3. Step 3: Cross multiply
    169,798x = 248,680.50 × 248,680.50
  4. Step 4: Simplify right side
    169,798x = 61,841,991,080.25
  5. Step 5: Solve for x
    x = 61,841,991,080.25/169,798
  6. Step 6: Final answer
    x = 364,209.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.