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Finding the Third Proportional to 145,392 and 218,816

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Solution

The third proportional to 145,392 and 218,816 is: 329,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,392 : 218,816 = 218,816 : x
  2. Step 2: Convert to fraction form
    145,392/218,816 = 218,816/x
  3. Step 3: Cross multiply
    145,392x = 218,816 × 218,816
  4. Step 4: Simplify right side
    145,392x = 47,880,441,856
  5. Step 5: Solve for x
    x = 47,880,441,856/145,392
  6. Step 6: Final answer
    x = 329,319.65

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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.