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Finding the Third Proportional to 176,328 and 272,434.50

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Solution

The third proportional to 176,328 and 272,434.50 is: 420,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,328 : 272,434.50 = 272,434.50 : x
  2. Step 2: Convert to fraction form
    176,328/272,434.50 = 272,434.50/x
  3. Step 3: Cross multiply
    176,328x = 272,434.50 × 272,434.50
  4. Step 4: Simplify right side
    176,328x = 74,220,556,790.25
  5. Step 5: Solve for x
    x = 74,220,556,790.25/176,328
  6. Step 6: Final answer
    x = 420,923.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.