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Finding the Third Proportional to 171,656 and 358,992

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Solution

The third proportional to 171,656 and 358,992 is: 750,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,656 : 358,992 = 358,992 : x
  2. Step 2: Convert to fraction form
    171,656/358,992 = 358,992/x
  3. Step 3: Cross multiply
    171,656x = 358,992 × 358,992
  4. Step 4: Simplify right side
    171,656x = 128,875,256,064
  5. Step 5: Solve for x
    x = 128,875,256,064/171,656
  6. Step 6: Final answer
    x = 750,776.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.