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Finding the Third Proportional to 158,224 and 344,320

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Solution

The third proportional to 158,224 and 344,320 is: 749,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,224 : 344,320 = 344,320 : x
  2. Step 2: Convert to fraction form
    158,224/344,320 = 344,320/x
  3. Step 3: Cross multiply
    158,224x = 344,320 × 344,320
  4. Step 4: Simplify right side
    158,224x = 118,556,262,400
  5. Step 5: Solve for x
    x = 118,556,262,400/158,224
  6. Step 6: Final answer
    x = 749,293.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.