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Finding the Third Proportional to 133,246.50 and 286,257

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Solution

The third proportional to 133,246.50 and 286,257 is: 614,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,246.50 : 286,257 = 286,257 : x
  2. Step 2: Convert to fraction form
    133,246.50/286,257 = 286,257/x
  3. Step 3: Cross multiply
    133,246.50x = 286,257 × 286,257
  4. Step 4: Simplify right side
    133,246.50x = 81,943,070,049
  5. Step 5: Solve for x
    x = 81,943,070,049/133,246.50
  6. Step 6: Final answer
    x = 614,973.53

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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.