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Finding the Third Proportional to 249,573 and 374,238

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Solution

The third proportional to 249,573 and 374,238 is: 561,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,573 : 374,238 = 374,238 : x
  2. Step 2: Convert to fraction form
    249,573/374,238 = 374,238/x
  3. Step 3: Cross multiply
    249,573x = 374,238 × 374,238
  4. Step 4: Simplify right side
    249,573x = 140,054,080,644
  5. Step 5: Solve for x
    x = 140,054,080,644/249,573
  6. Step 6: Final answer
    x = 561,174.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.