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Finding the Third Proportional to 182,682.84 and 286,952.63

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Solution

The third proportional to 182,682.84 and 286,952.63 is: 450,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,682.84 : 286,952.63 = 286,952.63 : x
  2. Step 2: Convert to fraction form
    182,682.84/286,952.63 = 286,952.63/x
  3. Step 3: Cross multiply
    182,682.84x = 286,952.63 × 286,952.63
  4. Step 4: Simplify right side
    182,682.84x = 82,341,808,994.39
  5. Step 5: Solve for x
    x = 82,341,808,994.39/182,682.84
  6. Step 6: Final answer
    x = 450,736.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.