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Finding the Third Proportional to 84,741.19 and 182,602.69

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Solution

The third proportional to 84,741.19 and 182,602.69 is: 393,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,741.19 : 182,602.69 = 182,602.69 : x
  2. Step 2: Convert to fraction form
    84,741.19/182,602.69 = 182,602.69/x
  3. Step 3: Cross multiply
    84,741.19x = 182,602.69 × 182,602.69
  4. Step 4: Simplify right side
    84,741.19x = 33,343,741,482.22
  5. Step 5: Solve for x
    x = 33,343,741,482.22/84,741.19
  6. Step 6: Final answer
    x = 393,477.39

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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.