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Finding the Third Proportional to 179,395.50 and 277,598.25

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Solution

The third proportional to 179,395.50 and 277,598.25 is: 429,558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,395.50 : 277,598.25 = 277,598.25 : x
  2. Step 2: Convert to fraction form
    179,395.50/277,598.25 = 277,598.25/x
  3. Step 3: Cross multiply
    179,395.50x = 277,598.25 × 277,598.25
  4. Step 4: Simplify right side
    179,395.50x = 77,060,788,403.06
  5. Step 5: Solve for x
    x = 77,060,788,403.06/179,395.50
  6. Step 6: Final answer
    x = 429,558.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.