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Finding the Third Proportional to 199,633.50 and 430,492.50

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Solution

The third proportional to 199,633.50 and 430,492.50 is: 928,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,633.50 : 430,492.50 = 430,492.50 : x
  2. Step 2: Convert to fraction form
    199,633.50/430,492.50 = 430,492.50/x
  3. Step 3: Cross multiply
    199,633.50x = 430,492.50 × 430,492.50
  4. Step 4: Simplify right side
    199,633.50x = 185,323,792,556.25
  5. Step 5: Solve for x
    x = 185,323,792,556.25/199,633.50
  6. Step 6: Final answer
    x = 928,320.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.