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Finding the Third Proportional to 147,382 and 222,473

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Solution

The third proportional to 147,382 and 222,473 is: 335,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,382 : 222,473 = 222,473 : x
  2. Step 2: Convert to fraction form
    147,382/222,473 = 222,473/x
  3. Step 3: Cross multiply
    147,382x = 222,473 × 222,473
  4. Step 4: Simplify right side
    147,382x = 49,494,235,729
  5. Step 5: Solve for x
    x = 49,494,235,729/147,382
  6. Step 6: Final answer
    x = 335,822.80

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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.