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Finding the Third Proportional to 176,552 and 385,905.50

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Solution

The third proportional to 176,552 and 385,905.50 is: 843,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,552 : 385,905.50 = 385,905.50 : x
  2. Step 2: Convert to fraction form
    176,552/385,905.50 = 385,905.50/x
  3. Step 3: Cross multiply
    176,552x = 385,905.50 × 385,905.50
  4. Step 4: Simplify right side
    176,552x = 148,923,054,930.25
  5. Step 5: Solve for x
    x = 148,923,054,930.25/176,552
  6. Step 6: Final answer
    x = 843,508.17

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