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Finding the Third Proportional to 238,090 and 323,354

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Solution

The third proportional to 238,090 and 323,354 is: 439,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,090 : 323,354 = 323,354 : x
  2. Step 2: Convert to fraction form
    238,090/323,354 = 323,354/x
  3. Step 3: Cross multiply
    238,090x = 323,354 × 323,354
  4. Step 4: Simplify right side
    238,090x = 104,557,809,316
  5. Step 5: Solve for x
    x = 104,557,809,316/238,090
  6. Step 6: Final answer
    x = 439,152.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.