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Finding the Third Proportional to 229,352 and 337,284

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Solution

The third proportional to 229,352 and 337,284 is: 496,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,352 : 337,284 = 337,284 : x
  2. Step 2: Convert to fraction form
    229,352/337,284 = 337,284/x
  3. Step 3: Cross multiply
    229,352x = 337,284 × 337,284
  4. Step 4: Simplify right side
    229,352x = 113,760,496,656
  5. Step 5: Solve for x
    x = 113,760,496,656/229,352
  6. Step 6: Final answer
    x = 496,008.30

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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.