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Finding the Third Proportional to 129,628 and 277,220

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Solution

The third proportional to 129,628 and 277,220 is: 592,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,628 : 277,220 = 277,220 : x
  2. Step 2: Convert to fraction form
    129,628/277,220 = 277,220/x
  3. Step 3: Cross multiply
    129,628x = 277,220 × 277,220
  4. Step 4: Simplify right side
    129,628x = 76,850,928,400
  5. Step 5: Solve for x
    x = 76,850,928,400/129,628
  6. Step 6: Final answer
    x = 592,857.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.