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Finding the Third Proportional to 176,371.50 and 252,114

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Solution

The third proportional to 176,371.50 and 252,114 is: 360,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,371.50 : 252,114 = 252,114 : x
  2. Step 2: Convert to fraction form
    176,371.50/252,114 = 252,114/x
  3. Step 3: Cross multiply
    176,371.50x = 252,114 × 252,114
  4. Step 4: Simplify right side
    176,371.50x = 63,561,468,996
  5. Step 5: Solve for x
    x = 63,561,468,996/176,371.50
  6. Step 6: Final answer
    x = 360,384.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.