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Finding the Third Proportional to 155,548 and 230,038

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Solution

The third proportional to 155,548 and 230,038 is: 340,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,548 : 230,038 = 230,038 : x
  2. Step 2: Convert to fraction form
    155,548/230,038 = 230,038/x
  3. Step 3: Cross multiply
    155,548x = 230,038 × 230,038
  4. Step 4: Simplify right side
    155,548x = 52,917,481,444
  5. Step 5: Solve for x
    x = 52,917,481,444/155,548
  6. Step 6: Final answer
    x = 340,200.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.