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Finding the Third Proportional to 229,070.25 and 368,229.38

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Solution

The third proportional to 229,070.25 and 368,229.38 is: 591,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,070.25 : 368,229.38 = 368,229.38 : x
  2. Step 2: Convert to fraction form
    229,070.25/368,229.38 = 368,229.38/x
  3. Step 3: Cross multiply
    229,070.25x = 368,229.38 × 368,229.38
  4. Step 4: Simplify right side
    229,070.25x = 135,592,872,612.89
  5. Step 5: Solve for x
    x = 135,592,872,612.89/229,070.25
  6. Step 6: Final answer
    x = 591,927.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.