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Finding the Third Proportional to 130,763 and 277,222

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Solution

The third proportional to 130,763 and 277,222 is: 587,720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,763 : 277,222 = 277,222 : x
  2. Step 2: Convert to fraction form
    130,763/277,222 = 277,222/x
  3. Step 3: Cross multiply
    130,763x = 277,222 × 277,222
  4. Step 4: Simplify right side
    130,763x = 76,852,037,284
  5. Step 5: Solve for x
    x = 76,852,037,284/130,763
  6. Step 6: Final answer
    x = 587,720.05

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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.