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Finding the Third Proportional to 176,512 and 269,386.50

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Solution

The third proportional to 176,512 and 269,386.50 is: 411,128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,512 : 269,386.50 = 269,386.50 : x
  2. Step 2: Convert to fraction form
    176,512/269,386.50 = 269,386.50/x
  3. Step 3: Cross multiply
    176,512x = 269,386.50 × 269,386.50
  4. Step 4: Simplify right side
    176,512x = 72,569,086,382.25
  5. Step 5: Solve for x
    x = 72,569,086,382.25/176,512
  6. Step 6: Final answer
    x = 411,128.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.