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Finding the Third Proportional to 114,477 and 232,057.50

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Solution

The third proportional to 114,477 and 232,057.50 is: 470,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,477 : 232,057.50 = 232,057.50 : x
  2. Step 2: Convert to fraction form
    114,477/232,057.50 = 232,057.50/x
  3. Step 3: Cross multiply
    114,477x = 232,057.50 × 232,057.50
  4. Step 4: Simplify right side
    114,477x = 53,850,683,306.25
  5. Step 5: Solve for x
    x = 53,850,683,306.25/114,477
  6. Step 6: Final answer
    x = 470,406.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.