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Finding the Third Proportional to 149,088 and 312,768

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Solution

The third proportional to 149,088 and 312,768 is: 656,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,088 : 312,768 = 312,768 : x
  2. Step 2: Convert to fraction form
    149,088/312,768 = 312,768/x
  3. Step 3: Cross multiply
    149,088x = 312,768 × 312,768
  4. Step 4: Simplify right side
    149,088x = 97,823,821,824
  5. Step 5: Solve for x
    x = 97,823,821,824/149,088
  6. Step 6: Final answer
    x = 656,148.19

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.