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Finding the Third Proportional to 234,543 and 512,103

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Solution

The third proportional to 234,543 and 512,103 is: 1,118,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,543 : 512,103 = 512,103 : x
  2. Step 2: Convert to fraction form
    234,543/512,103 = 512,103/x
  3. Step 3: Cross multiply
    234,543x = 512,103 × 512,103
  4. Step 4: Simplify right side
    234,543x = 262,249,482,609
  5. Step 5: Solve for x
    x = 262,249,482,609/234,543
  6. Step 6: Final answer
    x = 1,118,129.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.