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Finding the Third Proportional to 213,156.56 and 455,849.02

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Solution

The third proportional to 213,156.56 and 455,849.02 is: 974,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,156.56 : 455,849.02 = 455,849.02 : x
  2. Step 2: Convert to fraction form
    213,156.56/455,849.02 = 455,849.02/x
  3. Step 3: Cross multiply
    213,156.56x = 455,849.02 × 455,849.02
  4. Step 4: Simplify right side
    213,156.56x = 207,798,325,046.28
  5. Step 5: Solve for x
    x = 207,798,325,046.28/213,156.56
  6. Step 6: Final answer
    x = 974,862.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.