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Finding the Third Proportional to 158,970 and 345,550.50

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Solution

The third proportional to 158,970 and 345,550.50 is: 751,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,970 : 345,550.50 = 345,550.50 : x
  2. Step 2: Convert to fraction form
    158,970/345,550.50 = 345,550.50/x
  3. Step 3: Cross multiply
    158,970x = 345,550.50 × 345,550.50
  4. Step 4: Simplify right side
    158,970x = 119,405,148,050.25
  5. Step 5: Solve for x
    x = 119,405,148,050.25/158,970
  6. Step 6: Final answer
    x = 751,117.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.