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Finding the Third Proportional to 193,507 and 298,882

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Solution

The third proportional to 193,507 and 298,882 is: 461,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,507 : 298,882 = 298,882 : x
  2. Step 2: Convert to fraction form
    193,507/298,882 = 298,882/x
  3. Step 3: Cross multiply
    193,507x = 298,882 × 298,882
  4. Step 4: Simplify right side
    193,507x = 89,330,449,924
  5. Step 5: Solve for x
    x = 89,330,449,924/193,507
  6. Step 6: Final answer
    x = 461,639.37

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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.