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Finding the Third Proportional to 155,592 and 228,438

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Solution

The third proportional to 155,592 and 228,438 is: 335,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,592 : 228,438 = 228,438 : x
  2. Step 2: Convert to fraction form
    155,592/228,438 = 228,438/x
  3. Step 3: Cross multiply
    155,592x = 228,438 × 228,438
  4. Step 4: Simplify right side
    155,592x = 52,183,919,844
  5. Step 5: Solve for x
    x = 52,183,919,844/155,592
  6. Step 6: Final answer
    x = 335,389.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.