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Finding the Third Proportional to 180,104.63 and 260,857.13

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Solution

The third proportional to 180,104.63 and 260,857.13 is: 377,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,104.63 : 260,857.13 = 260,857.13 : x
  2. Step 2: Convert to fraction form
    180,104.63/260,857.13 = 260,857.13/x
  3. Step 3: Cross multiply
    180,104.63x = 260,857.13 × 260,857.13
  4. Step 4: Simplify right side
    180,104.63x = 68,046,439,663.27
  5. Step 5: Solve for x
    x = 68,046,439,663.27/180,104.63
  6. Step 6: Final answer
    x = 377,816.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.