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Finding the Third Proportional to 144,915.75 and 317,272.50

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Solution

The third proportional to 144,915.75 and 317,272.50 is: 694,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,915.75 : 317,272.50 = 317,272.50 : x
  2. Step 2: Convert to fraction form
    144,915.75/317,272.50 = 317,272.50/x
  3. Step 3: Cross multiply
    144,915.75x = 317,272.50 × 317,272.50
  4. Step 4: Simplify right side
    144,915.75x = 100,661,839,256.25
  5. Step 5: Solve for x
    x = 100,661,839,256.25/144,915.75
  6. Step 6: Final answer
    x = 694,623.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.