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Finding the Third Proportional to 130,855.50 and 277,430.06

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Solution

The third proportional to 130,855.50 and 277,430.06 is: 588,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,855.50 : 277,430.06 = 277,430.06 : x
  2. Step 2: Convert to fraction form
    130,855.50/277,430.06 = 277,430.06/x
  3. Step 3: Cross multiply
    130,855.50x = 277,430.06 × 277,430.06
  4. Step 4: Simplify right side
    130,855.50x = 76,967,439,578.75
  5. Step 5: Solve for x
    x = 76,967,439,578.75/130,855.50
  6. Step 6: Final answer
    x = 588,186.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.