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Finding the Third Proportional to 84,248.62 and 183,374.82

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Solution

The third proportional to 84,248.62 and 183,374.82 is: 399,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,248.62 : 183,374.82 = 183,374.82 : x
  2. Step 2: Convert to fraction form
    84,248.62/183,374.82 = 183,374.82/x
  3. Step 3: Cross multiply
    84,248.62x = 183,374.82 × 183,374.82
  4. Step 4: Simplify right side
    84,248.62x = 33,626,326,157.26
  5. Step 5: Solve for x
    x = 33,626,326,157.26/84,248.62
  6. Step 6: Final answer
    x = 399,132.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.