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Finding the Third Proportional to 144,378 and 349,870.50

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Solution

The third proportional to 144,378 and 349,870.50 is: 847,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,378 : 349,870.50 = 349,870.50 : x
  2. Step 2: Convert to fraction form
    144,378/349,870.50 = 349,870.50/x
  3. Step 3: Cross multiply
    144,378x = 349,870.50 × 349,870.50
  4. Step 4: Simplify right side
    144,378x = 122,409,366,770.25
  5. Step 5: Solve for x
    x = 122,409,366,770.25/144,378
  6. Step 6: Final answer
    x = 847,839.47

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.