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Finding the Third Proportional to 229,712 and 337,008

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Solution

The third proportional to 229,712 and 337,008 is: 494,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,712 : 337,008 = 337,008 : x
  2. Step 2: Convert to fraction form
    229,712/337,008 = 337,008/x
  3. Step 3: Cross multiply
    229,712x = 337,008 × 337,008
  4. Step 4: Simplify right side
    229,712x = 113,574,392,064
  5. Step 5: Solve for x
    x = 113,574,392,064/229,712
  6. Step 6: Final answer
    x = 494,420.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.