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Finding the Third Proportional to 119,655 and 261,042

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Solution

The third proportional to 119,655 and 261,042 is: 569,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,655 : 261,042 = 261,042 : x
  2. Step 2: Convert to fraction form
    119,655/261,042 = 261,042/x
  3. Step 3: Cross multiply
    119,655x = 261,042 × 261,042
  4. Step 4: Simplify right side
    119,655x = 68,142,925,764
  5. Step 5: Solve for x
    x = 68,142,925,764/119,655
  6. Step 6: Final answer
    x = 569,495.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.