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Finding the Third Proportional to 234,407.25 and 361,341

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Solution

The third proportional to 234,407.25 and 361,341 is: 557,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,407.25 : 361,341 = 361,341 : x
  2. Step 2: Convert to fraction form
    234,407.25/361,341 = 361,341/x
  3. Step 3: Cross multiply
    234,407.25x = 361,341 × 361,341
  4. Step 4: Simplify right side
    234,407.25x = 130,567,318,281
  5. Step 5: Solve for x
    x = 130,567,318,281/234,407.25
  6. Step 6: Final answer
    x = 557,010.58

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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.