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Finding the Third Proportional to 119,903.63 and 264,817.69

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Solution

The third proportional to 119,903.63 and 264,817.69 is: 584,873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,903.63 : 264,817.69 = 264,817.69 : x
  2. Step 2: Convert to fraction form
    119,903.63/264,817.69 = 264,817.69/x
  3. Step 3: Cross multiply
    119,903.63x = 264,817.69 × 264,817.69
  4. Step 4: Simplify right side
    119,903.63x = 70,128,407,612.85
  5. Step 5: Solve for x
    x = 70,128,407,612.85/119,903.63
  6. Step 6: Final answer
    x = 584,873.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.