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Finding the Third Proportional to 287,330.25 and 433,182

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Solution

The third proportional to 287,330.25 and 433,182 is: 653,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,330.25 : 433,182 = 433,182 : x
  2. Step 2: Convert to fraction form
    287,330.25/433,182 = 433,182/x
  3. Step 3: Cross multiply
    287,330.25x = 433,182 × 433,182
  4. Step 4: Simplify right side
    287,330.25x = 187,646,645,124
  5. Step 5: Solve for x
    x = 187,646,645,124/287,330.25
  6. Step 6: Final answer
    x = 653,069.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.