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Finding the Third Proportional to 153,958 and 230,937

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Solution

The third proportional to 153,958 and 230,937 is: 346,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,958 : 230,937 = 230,937 : x
  2. Step 2: Convert to fraction form
    153,958/230,937 = 230,937/x
  3. Step 3: Cross multiply
    153,958x = 230,937 × 230,937
  4. Step 4: Simplify right side
    153,958x = 53,331,897,969
  5. Step 5: Solve for x
    x = 53,331,897,969/153,958
  6. Step 6: Final answer
    x = 346,405.50

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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.