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Finding the Third Proportional to 129,076.50 and 277,927.50

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Solution

The third proportional to 129,076.50 and 277,927.50 is: 598,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,076.50 : 277,927.50 = 277,927.50 : x
  2. Step 2: Convert to fraction form
    129,076.50/277,927.50 = 277,927.50/x
  3. Step 3: Cross multiply
    129,076.50x = 277,927.50 × 277,927.50
  4. Step 4: Simplify right side
    129,076.50x = 77,243,695,256.25
  5. Step 5: Solve for x
    x = 77,243,695,256.25/129,076.50
  6. Step 6: Final answer
    x = 598,433.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.