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Finding the Third Proportional to 147,314.95 and 321,617.14

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Solution

The third proportional to 147,314.95 and 321,617.14 is: 702,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,314.95 : 321,617.14 = 321,617.14 : x
  2. Step 2: Convert to fraction form
    147,314.95/321,617.14 = 321,617.14/x
  3. Step 3: Cross multiply
    147,314.95x = 321,617.14 × 321,617.14
  4. Step 4: Simplify right side
    147,314.95x = 103,437,587,656.43
  5. Step 5: Solve for x
    x = 103,437,587,656.43/147,314.95
  6. Step 6: Final answer
    x = 702,152.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.