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Finding the Third Proportional to 155,358 and 232,956

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Solution

The third proportional to 155,358 and 232,956 is: 349,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,358 : 232,956 = 232,956 : x
  2. Step 2: Convert to fraction form
    155,358/232,956 = 232,956/x
  3. Step 3: Cross multiply
    155,358x = 232,956 × 232,956
  4. Step 4: Simplify right side
    155,358x = 54,268,497,936
  5. Step 5: Solve for x
    x = 54,268,497,936/155,358
  6. Step 6: Final answer
    x = 349,312.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.