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Finding the Third Proportional to 155,088 and 232,626

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Solution

The third proportional to 155,088 and 232,626 is: 348,930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,088 : 232,626 = 232,626 : x
  2. Step 2: Convert to fraction form
    155,088/232,626 = 232,626/x
  3. Step 3: Cross multiply
    155,088x = 232,626 × 232,626
  4. Step 4: Simplify right side
    155,088x = 54,114,855,876
  5. Step 5: Solve for x
    x = 54,114,855,876/155,088
  6. Step 6: Final answer
    x = 348,930.00

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Why These Related Problems?

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