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Finding the Third Proportional to 149,110 and 230,370

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Solution

The third proportional to 149,110 and 230,370 is: 355,914.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,110 : 230,370 = 230,370 : x
  2. Step 2: Convert to fraction form
    149,110/230,370 = 230,370/x
  3. Step 3: Cross multiply
    149,110x = 230,370 × 230,370
  4. Step 4: Simplify right side
    149,110x = 53,070,336,900
  5. Step 5: Solve for x
    x = 53,070,336,900/149,110
  6. Step 6: Final answer
    x = 355,914.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.