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Finding the Third Proportional to 229,658.63 and 337,925.25

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Solution

The third proportional to 229,658.63 and 337,925.25 is: 497,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,658.63 : 337,925.25 = 337,925.25 : x
  2. Step 2: Convert to fraction form
    229,658.63/337,925.25 = 337,925.25/x
  3. Step 3: Cross multiply
    229,658.63x = 337,925.25 × 337,925.25
  4. Step 4: Simplify right side
    229,658.63x = 114,193,474,587.56
  5. Step 5: Solve for x
    x = 114,193,474,587.56/229,658.63
  6. Step 6: Final answer
    x = 497,231.38

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