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Finding the Third Proportional to 240,700 and 374,208

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Solution

The third proportional to 240,700 and 374,208 is: 581,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,700 : 374,208 = 374,208 : x
  2. Step 2: Convert to fraction form
    240,700/374,208 = 374,208/x
  3. Step 3: Cross multiply
    240,700x = 374,208 × 374,208
  4. Step 4: Simplify right side
    240,700x = 140,031,627,264
  5. Step 5: Solve for x
    x = 140,031,627,264/240,700
  6. Step 6: Final answer
    x = 581,768.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.