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Finding the Third Proportional to 245,216 and 374,952

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Solution

The third proportional to 245,216 and 374,952 is: 573,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,216 : 374,952 = 374,952 : x
  2. Step 2: Convert to fraction form
    245,216/374,952 = 374,952/x
  3. Step 3: Cross multiply
    245,216x = 374,952 × 374,952
  4. Step 4: Simplify right side
    245,216x = 140,589,002,304
  5. Step 5: Solve for x
    x = 140,589,002,304/245,216
  6. Step 6: Final answer
    x = 573,327.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.