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Finding the Third Proportional to 97,394 and 209,582

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Solution

The third proportional to 97,394 and 209,582 is: 450,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,394 : 209,582 = 209,582 : x
  2. Step 2: Convert to fraction form
    97,394/209,582 = 209,582/x
  3. Step 3: Cross multiply
    97,394x = 209,582 × 209,582
  4. Step 4: Simplify right side
    97,394x = 43,924,614,724
  5. Step 5: Solve for x
    x = 43,924,614,724/97,394
  6. Step 6: Final answer
    x = 450,999.19

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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.