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Finding the Third Proportional to 229,395 and 354,321

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Solution

The third proportional to 229,395 and 354,321 is: 547,280.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,395 : 354,321 = 354,321 : x
  2. Step 2: Convert to fraction form
    229,395/354,321 = 354,321/x
  3. Step 3: Cross multiply
    229,395x = 354,321 × 354,321
  4. Step 4: Simplify right side
    229,395x = 125,543,371,041
  5. Step 5: Solve for x
    x = 125,543,371,041/229,395
  6. Step 6: Final answer
    x = 547,280.33

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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.