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Finding the Third Proportional to 199,520.72 and 432,950.06

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Solution

The third proportional to 199,520.72 and 432,950.06 is: 939,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,520.72 : 432,950.06 = 432,950.06 : x
  2. Step 2: Convert to fraction form
    199,520.72/432,950.06 = 432,950.06/x
  3. Step 3: Cross multiply
    199,520.72x = 432,950.06 × 432,950.06
  4. Step 4: Simplify right side
    199,520.72x = 187,445,756,618.75
  5. Step 5: Solve for x
    x = 187,445,756,618.75/199,520.72
  6. Step 6: Final answer
    x = 939,480.16

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Why These Related Problems?

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