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Finding the Third Proportional to 163,300 and 349,928

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Solution

The third proportional to 163,300 and 349,928 is: 749,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,300 : 349,928 = 349,928 : x
  2. Step 2: Convert to fraction form
    163,300/349,928 = 349,928/x
  3. Step 3: Cross multiply
    163,300x = 349,928 × 349,928
  4. Step 4: Simplify right side
    163,300x = 122,449,605,184
  5. Step 5: Solve for x
    x = 122,449,605,184/163,300
  6. Step 6: Final answer
    x = 749,844.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.