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Finding the Third Proportional to 147,984 and 235,372

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Solution

The third proportional to 147,984 and 235,372 is: 374,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,984 : 235,372 = 235,372 : x
  2. Step 2: Convert to fraction form
    147,984/235,372 = 235,372/x
  3. Step 3: Cross multiply
    147,984x = 235,372 × 235,372
  4. Step 4: Simplify right side
    147,984x = 55,399,978,384
  5. Step 5: Solve for x
    x = 55,399,978,384/147,984
  6. Step 6: Final answer
    x = 374,364.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.