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Finding the Third Proportional to 199,648.13 and 432,492.75

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Solution

The third proportional to 199,648.13 and 432,492.75 is: 936,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,648.13 : 432,492.75 = 432,492.75 : x
  2. Step 2: Convert to fraction form
    199,648.13/432,492.75 = 432,492.75/x
  3. Step 3: Cross multiply
    199,648.13x = 432,492.75 × 432,492.75
  4. Step 4: Simplify right side
    199,648.13x = 187,049,978,802.56
  5. Step 5: Solve for x
    x = 187,049,978,802.56/199,648.13
  6. Step 6: Final answer
    x = 936,898.25

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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.