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Finding the Third Proportional to 245,224 and 374,964

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Solution

The third proportional to 245,224 and 374,964 is: 573,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,224 : 374,964 = 374,964 : x
  2. Step 2: Convert to fraction form
    245,224/374,964 = 374,964/x
  3. Step 3: Cross multiply
    245,224x = 374,964 × 374,964
  4. Step 4: Simplify right side
    245,224x = 140,598,001,296
  5. Step 5: Solve for x
    x = 140,598,001,296/245,224
  6. Step 6: Final answer
    x = 573,345.19

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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.