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Finding the Third Proportional to 156,453 and 336,492.75

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Solution

The third proportional to 156,453 and 336,492.75 is: 723,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,453 : 336,492.75 = 336,492.75 : x
  2. Step 2: Convert to fraction form
    156,453/336,492.75 = 336,492.75/x
  3. Step 3: Cross multiply
    156,453x = 336,492.75 × 336,492.75
  4. Step 4: Simplify right side
    156,453x = 113,227,370,802.56
  5. Step 5: Solve for x
    x = 113,227,370,802.56/156,453
  6. Step 6: Final answer
    x = 723,714.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.