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Finding the Third Proportional to 157,281.75 and 336,615.75

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Solution

The third proportional to 157,281.75 and 336,615.75 is: 720,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,281.75 : 336,615.75 = 336,615.75 : x
  2. Step 2: Convert to fraction form
    157,281.75/336,615.75 = 336,615.75/x
  3. Step 3: Cross multiply
    157,281.75x = 336,615.75 × 336,615.75
  4. Step 4: Simplify right side
    157,281.75x = 113,310,163,148.06
  5. Step 5: Solve for x
    x = 113,310,163,148.06/157,281.75
  6. Step 6: Final answer
    x = 720,427.91

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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.