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Finding the Third Proportional to 116,922 and 252,528

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Solution

The third proportional to 116,922 and 252,528 is: 545,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,922 : 252,528 = 252,528 : x
  2. Step 2: Convert to fraction form
    116,922/252,528 = 252,528/x
  3. Step 3: Cross multiply
    116,922x = 252,528 × 252,528
  4. Step 4: Simplify right side
    116,922x = 63,770,390,784
  5. Step 5: Solve for x
    x = 63,770,390,784/116,922
  6. Step 6: Final answer
    x = 545,409.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.