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Finding the Third Proportional to 146,208.50 and 303,905

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Solution

The third proportional to 146,208.50 and 303,905 is: 631,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,208.50 : 303,905 = 303,905 : x
  2. Step 2: Convert to fraction form
    146,208.50/303,905 = 303,905/x
  3. Step 3: Cross multiply
    146,208.50x = 303,905 × 303,905
  4. Step 4: Simplify right side
    146,208.50x = 92,358,249,025
  5. Step 5: Solve for x
    x = 92,358,249,025/146,208.50
  6. Step 6: Final answer
    x = 631,688.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.