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Finding the Third Proportional to 171,654 and 365,628

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Solution

The third proportional to 171,654 and 365,628 is: 778,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,654 : 365,628 = 365,628 : x
  2. Step 2: Convert to fraction form
    171,654/365,628 = 365,628/x
  3. Step 3: Cross multiply
    171,654x = 365,628 × 365,628
  4. Step 4: Simplify right side
    171,654x = 133,683,834,384
  5. Step 5: Solve for x
    x = 133,683,834,384/171,654
  6. Step 6: Final answer
    x = 778,798.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.