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Finding the Third Proportional to 136,176.75 and 277,888.50

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Solution

The third proportional to 136,176.75 and 277,888.50 is: 567,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,176.75 : 277,888.50 = 277,888.50 : x
  2. Step 2: Convert to fraction form
    136,176.75/277,888.50 = 277,888.50/x
  3. Step 3: Cross multiply
    136,176.75x = 277,888.50 × 277,888.50
  4. Step 4: Simplify right side
    136,176.75x = 77,222,018,432.25
  5. Step 5: Solve for x
    x = 77,222,018,432.25/136,176.75
  6. Step 6: Final answer
    x = 567,071.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.