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Finding the Third Proportional to 97,378 and 204,595

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Solution

The third proportional to 97,378 and 204,595 is: 429,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,378 : 204,595 = 204,595 : x
  2. Step 2: Convert to fraction form
    97,378/204,595 = 204,595/x
  3. Step 3: Cross multiply
    97,378x = 204,595 × 204,595
  4. Step 4: Simplify right side
    97,378x = 41,859,114,025
  5. Step 5: Solve for x
    x = 41,859,114,025/97,378
  6. Step 6: Final answer
    x = 429,862.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.