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Finding the Third Proportional to 174,501 and 276,763.50

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Solution

The third proportional to 174,501 and 276,763.50 is: 438,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,501 : 276,763.50 = 276,763.50 : x
  2. Step 2: Convert to fraction form
    174,501/276,763.50 = 276,763.50/x
  3. Step 3: Cross multiply
    174,501x = 276,763.50 × 276,763.50
  4. Step 4: Simplify right side
    174,501x = 76,598,034,932.25
  5. Step 5: Solve for x
    x = 76,598,034,932.25/174,501
  6. Step 6: Final answer
    x = 438,954.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.