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Finding the Third Proportional to 229,984 and 355,232

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Solution

The third proportional to 229,984 and 355,232 is: 548,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,984 : 355,232 = 355,232 : x
  2. Step 2: Convert to fraction form
    229,984/355,232 = 355,232/x
  3. Step 3: Cross multiply
    229,984x = 355,232 × 355,232
  4. Step 4: Simplify right side
    229,984x = 126,189,773,824
  5. Step 5: Solve for x
    x = 126,189,773,824/229,984
  6. Step 6: Final answer
    x = 548,689.36

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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.