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Finding the Third Proportional to 200,140.88 and 304,335.56

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Solution

The third proportional to 200,140.88 and 304,335.56 is: 462,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,140.88 : 304,335.56 = 304,335.56 : x
  2. Step 2: Convert to fraction form
    200,140.88/304,335.56 = 304,335.56/x
  3. Step 3: Cross multiply
    200,140.88x = 304,335.56 × 304,335.56
  4. Step 4: Simplify right side
    200,140.88x = 92,620,134,602.19
  5. Step 5: Solve for x
    x = 92,620,134,602.19/200,140.88
  6. Step 6: Final answer
    x = 462,774.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.