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Finding the Third Proportional to 199,645.50 and 432,513

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Solution

The third proportional to 199,645.50 and 432,513 is: 936,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,645.50 : 432,513 = 432,513 : x
  2. Step 2: Convert to fraction form
    199,645.50/432,513 = 432,513/x
  3. Step 3: Cross multiply
    199,645.50x = 432,513 × 432,513
  4. Step 4: Simplify right side
    199,645.50x = 187,067,495,169
  5. Step 5: Solve for x
    x = 187,067,495,169/199,645.50
  6. Step 6: Final answer
    x = 936,998.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.