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Finding the Third Proportional to 158,923.50 and 343,053.75

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Solution

The third proportional to 158,923.50 and 343,053.75 is: 740,519.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,923.50 : 343,053.75 = 343,053.75 : x
  2. Step 2: Convert to fraction form
    158,923.50/343,053.75 = 343,053.75/x
  3. Step 3: Cross multiply
    158,923.50x = 343,053.75 × 343,053.75
  4. Step 4: Simplify right side
    158,923.50x = 117,685,875,389.06
  5. Step 5: Solve for x
    x = 117,685,875,389.06/158,923.50
  6. Step 6: Final answer
    x = 740,519.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.