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Finding the Third Proportional to 116,813 and 177,528

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Solution

The third proportional to 116,813 and 177,528 is: 269,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,813 : 177,528 = 177,528 : x
  2. Step 2: Convert to fraction form
    116,813/177,528 = 177,528/x
  3. Step 3: Cross multiply
    116,813x = 177,528 × 177,528
  4. Step 4: Simplify right side
    116,813x = 31,516,190,784
  5. Step 5: Solve for x
    x = 31,516,190,784/116,813
  6. Step 6: Final answer
    x = 269,800.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.