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Finding the Third Proportional to 157,321.50 and 336,271.50

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Solution

The third proportional to 157,321.50 and 336,271.50 is: 718,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,321.50 : 336,271.50 = 336,271.50 : x
  2. Step 2: Convert to fraction form
    157,321.50/336,271.50 = 336,271.50/x
  3. Step 3: Cross multiply
    157,321.50x = 336,271.50 × 336,271.50
  4. Step 4: Simplify right side
    157,321.50x = 113,078,521,712.25
  5. Step 5: Solve for x
    x = 113,078,521,712.25/157,321.50
  6. Step 6: Final answer
    x = 718,773.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.