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Finding the Third Proportional to 245,851.75 and 371,039.25

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Solution

The third proportional to 245,851.75 and 371,039.25 is: 559,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,851.75 : 371,039.25 = 371,039.25 : x
  2. Step 2: Convert to fraction form
    245,851.75/371,039.25 = 371,039.25/x
  3. Step 3: Cross multiply
    245,851.75x = 371,039.25 × 371,039.25
  4. Step 4: Simplify right side
    245,851.75x = 137,670,125,040.56
  5. Step 5: Solve for x
    x = 137,670,125,040.56/245,851.75
  6. Step 6: Final answer
    x = 559,972.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.