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Finding the Third Proportional to 229,056 and 345,248

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Solution

The third proportional to 229,056 and 345,248 is: 520,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,056 : 345,248 = 345,248 : x
  2. Step 2: Convert to fraction form
    229,056/345,248 = 345,248/x
  3. Step 3: Cross multiply
    229,056x = 345,248 × 345,248
  4. Step 4: Simplify right side
    229,056x = 119,196,181,504
  5. Step 5: Solve for x
    x = 119,196,181,504/229,056
  6. Step 6: Final answer
    x = 520,380.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.