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Finding the Third Proportional to 97,523 and 202,778

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Solution

The third proportional to 97,523 and 202,778 is: 421,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,523 : 202,778 = 202,778 : x
  2. Step 2: Convert to fraction form
    97,523/202,778 = 202,778/x
  3. Step 3: Cross multiply
    97,523x = 202,778 × 202,778
  4. Step 4: Simplify right side
    97,523x = 41,118,917,284
  5. Step 5: Solve for x
    x = 41,118,917,284/97,523
  6. Step 6: Final answer
    x = 421,633.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.