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Finding the Third Proportional to 178,203 and 235,552.50

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Solution

The third proportional to 178,203 and 235,552.50 is: 311,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,203 : 235,552.50 = 235,552.50 : x
  2. Step 2: Convert to fraction form
    178,203/235,552.50 = 235,552.50/x
  3. Step 3: Cross multiply
    178,203x = 235,552.50 × 235,552.50
  4. Step 4: Simplify right side
    178,203x = 55,484,980,256.25
  5. Step 5: Solve for x
    x = 55,484,980,256.25/178,203
  6. Step 6: Final answer
    x = 311,358.28

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.