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Finding the Third Proportional to 229,334 and 337,260.50

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Solution

The third proportional to 229,334 and 337,260.50 is: 495,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,334 : 337,260.50 = 337,260.50 : x
  2. Step 2: Convert to fraction form
    229,334/337,260.50 = 337,260.50/x
  3. Step 3: Cross multiply
    229,334x = 337,260.50 × 337,260.50
  4. Step 4: Simplify right side
    229,334x = 113,744,644,860.25
  5. Step 5: Solve for x
    x = 113,744,644,860.25/229,334
  6. Step 6: Final answer
    x = 495,978.11

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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.