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Finding the Third Proportional to 235,235 and 374,304

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Solution

The third proportional to 235,235 and 374,304 is: 595,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,235 : 374,304 = 374,304 : x
  2. Step 2: Convert to fraction form
    235,235/374,304 = 374,304/x
  3. Step 3: Cross multiply
    235,235x = 374,304 × 374,304
  4. Step 4: Simplify right side
    235,235x = 140,103,484,416
  5. Step 5: Solve for x
    x = 140,103,484,416/235,235
  6. Step 6: Final answer
    x = 595,589.45

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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.