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Finding the Third Proportional to 147,030.75 and 318,951

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Solution

The third proportional to 147,030.75 and 318,951 is: 691,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,030.75 : 318,951 = 318,951 : x
  2. Step 2: Convert to fraction form
    147,030.75/318,951 = 318,951/x
  3. Step 3: Cross multiply
    147,030.75x = 318,951 × 318,951
  4. Step 4: Simplify right side
    147,030.75x = 101,729,740,401
  5. Step 5: Solve for x
    x = 101,729,740,401/147,030.75
  6. Step 6: Final answer
    x = 691,894.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.