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Finding the Third Proportional to 131,788.13 and 282,644.63

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Solution

The third proportional to 131,788.13 and 282,644.63 is: 606,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,788.13 : 282,644.63 = 282,644.63 : x
  2. Step 2: Convert to fraction form
    131,788.13/282,644.63 = 282,644.63/x
  3. Step 3: Cross multiply
    131,788.13x = 282,644.63 × 282,644.63
  4. Step 4: Simplify right side
    131,788.13x = 79,887,984,041.39
  5. Step 5: Solve for x
    x = 79,887,984,041.39/131,788.13
  6. Step 6: Final answer
    x = 606,185.00

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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.