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Finding the Third Proportional to 144,475 and 348,048

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Solution

The third proportional to 144,475 and 348,048 is: 838,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,475 : 348,048 = 348,048 : x
  2. Step 2: Convert to fraction form
    144,475/348,048 = 348,048/x
  3. Step 3: Cross multiply
    144,475x = 348,048 × 348,048
  4. Step 4: Simplify right side
    144,475x = 121,137,410,304
  5. Step 5: Solve for x
    x = 121,137,410,304/144,475
  6. Step 6: Final answer
    x = 838,466.24

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.