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Finding the Third Proportional to 206,698 and 310,044

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Solution

The third proportional to 206,698 and 310,044 is: 465,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,698 : 310,044 = 310,044 : x
  2. Step 2: Convert to fraction form
    206,698/310,044 = 310,044/x
  3. Step 3: Cross multiply
    206,698x = 310,044 × 310,044
  4. Step 4: Simplify right side
    206,698x = 96,127,281,936
  5. Step 5: Solve for x
    x = 96,127,281,936/206,698
  6. Step 6: Final answer
    x = 465,061.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.