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Finding the Third Proportional to 169,386.19 and 368,296.88

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Solution

The third proportional to 169,386.19 and 368,296.88 is: 800,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,386.19 : 368,296.88 = 368,296.88 : x
  2. Step 2: Convert to fraction form
    169,386.19/368,296.88 = 368,296.88/x
  3. Step 3: Cross multiply
    169,386.19x = 368,296.88 × 368,296.88
  4. Step 4: Simplify right side
    169,386.19x = 135,642,588,134.77
  5. Step 5: Solve for x
    x = 135,642,588,134.77/169,386.19
  6. Step 6: Final answer
    x = 800,788.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.