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Finding the Third Proportional to 229,449 and 337,420.50

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Solution

The third proportional to 229,449 and 337,420.50 is: 496,200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,449 : 337,420.50 = 337,420.50 : x
  2. Step 2: Convert to fraction form
    229,449/337,420.50 = 337,420.50/x
  3. Step 3: Cross multiply
    229,449x = 337,420.50 × 337,420.50
  4. Step 4: Simplify right side
    229,449x = 113,852,593,820.25
  5. Step 5: Solve for x
    x = 113,852,593,820.25/229,449
  6. Step 6: Final answer
    x = 496,200.00

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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.