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Finding the Third Proportional to 230,880 and 346,326

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Solution

The third proportional to 230,880 and 346,326 is: 519,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,880 : 346,326 = 346,326 : x
  2. Step 2: Convert to fraction form
    230,880/346,326 = 346,326/x
  3. Step 3: Cross multiply
    230,880x = 346,326 × 346,326
  4. Step 4: Simplify right side
    230,880x = 119,941,698,276
  5. Step 5: Solve for x
    x = 119,941,698,276/230,880
  6. Step 6: Final answer
    x = 519,498.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.