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Finding the Third Proportional to 179,534 and 388,784

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Solution

The third proportional to 179,534 and 388,784 is: 841,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,534 : 388,784 = 388,784 : x
  2. Step 2: Convert to fraction form
    179,534/388,784 = 388,784/x
  3. Step 3: Cross multiply
    179,534x = 388,784 × 388,784
  4. Step 4: Simplify right side
    179,534x = 151,152,998,656
  5. Step 5: Solve for x
    x = 151,152,998,656/179,534
  6. Step 6: Final answer
    x = 841,918.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.