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Finding the Third Proportional to 197,341.31 and 432,241.31

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Solution

The third proportional to 197,341.31 and 432,241.31 is: 946,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,341.31 : 432,241.31 = 432,241.31 : x
  2. Step 2: Convert to fraction form
    197,341.31/432,241.31 = 432,241.31/x
  3. Step 3: Cross multiply
    197,341.31x = 432,241.31 × 432,241.31
  4. Step 4: Simplify right side
    197,341.31x = 186,832,552,231.72
  5. Step 5: Solve for x
    x = 186,832,552,231.72/197,341.31
  6. Step 6: Final answer
    x = 946,748.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.