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Finding the Third Proportional to 176,532.75 and 385,869.38

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Solution

The third proportional to 176,532.75 and 385,869.38 is: 843,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,532.75 : 385,869.38 = 385,869.38 : x
  2. Step 2: Convert to fraction form
    176,532.75/385,869.38 = 385,869.38/x
  3. Step 3: Cross multiply
    176,532.75x = 385,869.38 × 385,869.38
  4. Step 4: Simplify right side
    176,532.75x = 148,895,174,562.89
  5. Step 5: Solve for x
    x = 148,895,174,562.89/176,532.75
  6. Step 6: Final answer
    x = 843,442.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.