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Finding the Third Proportional to 163,242.19 and 343,008.38

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Solution

The third proportional to 163,242.19 and 343,008.38 is: 720,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,242.19 : 343,008.38 = 343,008.38 : x
  2. Step 2: Convert to fraction form
    163,242.19/343,008.38 = 343,008.38/x
  3. Step 3: Cross multiply
    163,242.19x = 343,008.38 × 343,008.38
  4. Step 4: Simplify right side
    163,242.19x = 117,654,745,320.14
  5. Step 5: Solve for x
    x = 117,654,745,320.14/163,242.19
  6. Step 6: Final answer
    x = 720,737.37

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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.