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Finding the Third Proportional to 140,985 and 307,694.25

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Solution

The third proportional to 140,985 and 307,694.25 is: 671,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,985 : 307,694.25 = 307,694.25 : x
  2. Step 2: Convert to fraction form
    140,985/307,694.25 = 307,694.25/x
  3. Step 3: Cross multiply
    140,985x = 307,694.25 × 307,694.25
  4. Step 4: Simplify right side
    140,985x = 94,675,751,483.06
  5. Step 5: Solve for x
    x = 94,675,751,483.06/140,985
  6. Step 6: Final answer
    x = 671,530.67

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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.