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Finding the Third Proportional to 219,114 and 338,346

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Solution

The third proportional to 219,114 and 338,346 is: 522,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,114 : 338,346 = 338,346 : x
  2. Step 2: Convert to fraction form
    219,114/338,346 = 338,346/x
  3. Step 3: Cross multiply
    219,114x = 338,346 × 338,346
  4. Step 4: Simplify right side
    219,114x = 114,478,015,716
  5. Step 5: Solve for x
    x = 114,478,015,716/219,114
  6. Step 6: Final answer
    x = 522,458.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.