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Finding the Third Proportional to 200,085.19 and 429,558.19

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Solution

The third proportional to 200,085.19 and 429,558.19 is: 922,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,085.19 : 429,558.19 = 429,558.19 : x
  2. Step 2: Convert to fraction form
    200,085.19/429,558.19 = 429,558.19/x
  3. Step 3: Cross multiply
    200,085.19x = 429,558.19 × 429,558.19
  4. Step 4: Simplify right side
    200,085.19x = 184,520,236,448.29
  5. Step 5: Solve for x
    x = 184,520,236,448.29/200,085.19
  6. Step 6: Final answer
    x = 922,208.38

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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.