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Finding the Third Proportional to 163,928 and 253,168

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Solution

The third proportional to 163,928 and 253,168 is: 390,988.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,928 : 253,168 = 253,168 : x
  2. Step 2: Convert to fraction form
    163,928/253,168 = 253,168/x
  3. Step 3: Cross multiply
    163,928x = 253,168 × 253,168
  4. Step 4: Simplify right side
    163,928x = 64,094,036,224
  5. Step 5: Solve for x
    x = 64,094,036,224/163,928
  6. Step 6: Final answer
    x = 390,988.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.