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Finding the Third Proportional to 84,352 and 183,465.50

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Solution

The third proportional to 84,352 and 183,465.50 is: 399,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,352 : 183,465.50 = 183,465.50 : x
  2. Step 2: Convert to fraction form
    84,352/183,465.50 = 183,465.50/x
  3. Step 3: Cross multiply
    84,352x = 183,465.50 × 183,465.50
  4. Step 4: Simplify right side
    84,352x = 33,659,589,690.25
  5. Step 5: Solve for x
    x = 33,659,589,690.25/84,352
  6. Step 6: Final answer
    x = 399,037.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.