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Finding the Third Proportional to 232,880.06 and 341,652.94

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Solution

The third proportional to 232,880.06 and 341,652.94 is: 501,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,880.06 : 341,652.94 = 341,652.94 : x
  2. Step 2: Convert to fraction form
    232,880.06/341,652.94 = 341,652.94/x
  3. Step 3: Cross multiply
    232,880.06x = 341,652.94 × 341,652.94
  4. Step 4: Simplify right side
    232,880.06x = 116,726,729,702.38
  5. Step 5: Solve for x
    x = 116,726,729,702.38/232,880.06
  6. Step 6: Final answer
    x = 501,231.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.