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Finding the Third Proportional to 199,838.25 and 429,322.50

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Solution

The third proportional to 199,838.25 and 429,322.50 is: 922,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,838.25 : 429,322.50 = 429,322.50 : x
  2. Step 2: Convert to fraction form
    199,838.25/429,322.50 = 429,322.50/x
  3. Step 3: Cross multiply
    199,838.25x = 429,322.50 × 429,322.50
  4. Step 4: Simplify right side
    199,838.25x = 184,317,809,006.25
  5. Step 5: Solve for x
    x = 184,317,809,006.25/199,838.25
  6. Step 6: Final answer
    x = 922,334.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.