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Finding the Third Proportional to 232,275.72 and 338,301.94

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Solution

The third proportional to 232,275.72 and 338,301.94 is: 492,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,275.72 : 338,301.94 = 338,301.94 : x
  2. Step 2: Convert to fraction form
    232,275.72/338,301.94 = 338,301.94/x
  3. Step 3: Cross multiply
    232,275.72x = 338,301.94 × 338,301.94
  4. Step 4: Simplify right side
    232,275.72x = 114,448,200,916.25
  5. Step 5: Solve for x
    x = 114,448,200,916.25/232,275.72
  6. Step 6: Final answer
    x = 492,725.63

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.