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Finding the Third Proportional to 176,374.50 and 252,118.50

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Solution

The third proportional to 176,374.50 and 252,118.50 is: 360,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,374.50 : 252,118.50 = 252,118.50 : x
  2. Step 2: Convert to fraction form
    176,374.50/252,118.50 = 252,118.50/x
  3. Step 3: Cross multiply
    176,374.50x = 252,118.50 × 252,118.50
  4. Step 4: Simplify right side
    176,374.50x = 63,563,738,042.25
  5. Step 5: Solve for x
    x = 63,563,738,042.25/176,374.50
  6. Step 6: Final answer
    x = 360,390.75

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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.