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Finding the Third Proportional to 128,461 and 270,770

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Solution

The third proportional to 128,461 and 270,770 is: 570,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,461 : 270,770 = 270,770 : x
  2. Step 2: Convert to fraction form
    128,461/270,770 = 270,770/x
  3. Step 3: Cross multiply
    128,461x = 270,770 × 270,770
  4. Step 4: Simplify right side
    128,461x = 73,316,392,900
  5. Step 5: Solve for x
    x = 73,316,392,900/128,461
  6. Step 6: Final answer
    x = 570,728.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.