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Finding the Third Proportional to 229,370 and 354,281

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Solution

The third proportional to 229,370 and 354,281 is: 547,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,370 : 354,281 = 354,281 : x
  2. Step 2: Convert to fraction form
    229,370/354,281 = 354,281/x
  3. Step 3: Cross multiply
    229,370x = 354,281 × 354,281
  4. Step 4: Simplify right side
    229,370x = 125,515,026,961
  5. Step 5: Solve for x
    x = 125,515,026,961/229,370
  6. Step 6: Final answer
    x = 547,216.41

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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.