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Finding the Third Proportional to 245,604.66 and 374,967.98

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Solution

The third proportional to 245,604.66 and 374,967.98 is: 572,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,604.66 : 374,967.98 = 374,967.98 : x
  2. Step 2: Convert to fraction form
    245,604.66/374,967.98 = 374,967.98/x
  3. Step 3: Cross multiply
    245,604.66x = 374,967.98 × 374,967.98
  4. Step 4: Simplify right side
    245,604.66x = 140,600,989,306.25
  5. Step 5: Solve for x
    x = 140,600,989,306.25/245,604.66
  6. Step 6: Final answer
    x = 572,468.74

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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.