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Finding the Third Proportional to 128,912 and 277,572

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Solution

The third proportional to 128,912 and 277,572 is: 597,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,912 : 277,572 = 277,572 : x
  2. Step 2: Convert to fraction form
    128,912/277,572 = 277,572/x
  3. Step 3: Cross multiply
    128,912x = 277,572 × 277,572
  4. Step 4: Simplify right side
    128,912x = 77,046,215,184
  5. Step 5: Solve for x
    x = 77,046,215,184/128,912
  6. Step 6: Final answer
    x = 597,665.19

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Why These Related Problems?

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