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Finding the Third Proportional to 147,690.84 and 322,112.64

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Solution

The third proportional to 147,690.84 and 322,112.64 is: 702,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,690.84 : 322,112.64 = 322,112.64 : x
  2. Step 2: Convert to fraction form
    147,690.84/322,112.64 = 322,112.64/x
  3. Step 3: Cross multiply
    147,690.84x = 322,112.64 × 322,112.64
  4. Step 4: Simplify right side
    147,690.84x = 103,756,550,733.91
  5. Step 5: Solve for x
    x = 103,756,550,733.91/147,690.84
  6. Step 6: Final answer
    x = 702,525.28

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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.