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Finding the Third Proportional to 229,590 and 307,935

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Solution

The third proportional to 229,590 and 307,935 is: 413,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,590 : 307,935 = 307,935 : x
  2. Step 2: Convert to fraction form
    229,590/307,935 = 307,935/x
  3. Step 3: Cross multiply
    229,590x = 307,935 × 307,935
  4. Step 4: Simplify right side
    229,590x = 94,823,964,225
  5. Step 5: Solve for x
    x = 94,823,964,225/229,590
  6. Step 6: Final answer
    x = 413,014.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.