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Finding the Third Proportional to 193,362.19 and 416,345.06

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Solution

The third proportional to 193,362.19 and 416,345.06 is: 896,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,362.19 : 416,345.06 = 416,345.06 : x
  2. Step 2: Convert to fraction form
    193,362.19/416,345.06 = 416,345.06/x
  3. Step 3: Cross multiply
    193,362.19x = 416,345.06 × 416,345.06
  4. Step 4: Simplify right side
    193,362.19x = 173,343,211,068.13
  5. Step 5: Solve for x
    x = 173,343,211,068.13/193,362.19
  6. Step 6: Final answer
    x = 896,469.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.