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Finding the Third Proportional to 229,034.25 and 346,062.38

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Solution

The third proportional to 229,034.25 and 346,062.38 is: 522,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,034.25 : 346,062.38 = 346,062.38 : x
  2. Step 2: Convert to fraction form
    229,034.25/346,062.38 = 346,062.38/x
  3. Step 3: Cross multiply
    229,034.25x = 346,062.38 × 346,062.38
  4. Step 4: Simplify right side
    229,034.25x = 119,759,167,390.64
  5. Step 5: Solve for x
    x = 119,759,167,390.64/229,034.25
  6. Step 6: Final answer
    x = 522,887.59

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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.