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Finding the Third Proportional to 200,032.88 and 434,409.75

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Solution

The third proportional to 200,032.88 and 434,409.75 is: 943,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,032.88 : 434,409.75 = 434,409.75 : x
  2. Step 2: Convert to fraction form
    200,032.88/434,409.75 = 434,409.75/x
  3. Step 3: Cross multiply
    200,032.88x = 434,409.75 × 434,409.75
  4. Step 4: Simplify right side
    200,032.88x = 188,711,830,895.06
  5. Step 5: Solve for x
    x = 188,711,830,895.06/200,032.88
  6. Step 6: Final answer
    x = 943,404.08

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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.