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Finding the Third Proportional to 185,220 and 404,338.50

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Solution

The third proportional to 185,220 and 404,338.50 is: 882,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,220 : 404,338.50 = 404,338.50 : x
  2. Step 2: Convert to fraction form
    185,220/404,338.50 = 404,338.50/x
  3. Step 3: Cross multiply
    185,220x = 404,338.50 × 404,338.50
  4. Step 4: Simplify right side
    185,220x = 163,489,622,582.25
  5. Step 5: Solve for x
    x = 163,489,622,582.25/185,220
  6. Step 6: Final answer
    x = 882,678.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.