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Finding the Third Proportional to 197,964 and 314,583.75

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Solution

The third proportional to 197,964 and 314,583.75 is: 499,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,964 : 314,583.75 = 314,583.75 : x
  2. Step 2: Convert to fraction form
    197,964/314,583.75 = 314,583.75/x
  3. Step 3: Cross multiply
    197,964x = 314,583.75 × 314,583.75
  4. Step 4: Simplify right side
    197,964x = 98,962,935,764.06
  5. Step 5: Solve for x
    x = 98,962,935,764.06/197,964
  6. Step 6: Final answer
    x = 499,903.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.