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Finding the Third Proportional to 234,491.63 and 505,153.13

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Solution

The third proportional to 234,491.63 and 505,153.13 is: 1,088,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,491.63 : 505,153.13 = 505,153.13 : x
  2. Step 2: Convert to fraction form
    234,491.63/505,153.13 = 505,153.13/x
  3. Step 3: Cross multiply
    234,491.63x = 505,153.13 × 505,153.13
  4. Step 4: Simplify right side
    234,491.63x = 255,179,679,697.27
  5. Step 5: Solve for x
    x = 255,179,679,697.27/234,491.63
  6. Step 6: Final answer
    x = 1,088,225.13

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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.