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Finding the Third Proportional to 164,376.84 and 353,334.66

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Solution

The third proportional to 164,376.84 and 353,334.66 is: 759,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,376.84 : 353,334.66 = 353,334.66 : x
  2. Step 2: Convert to fraction form
    164,376.84/353,334.66 = 353,334.66/x
  3. Step 3: Cross multiply
    164,376.84x = 353,334.66 × 353,334.66
  4. Step 4: Simplify right side
    164,376.84x = 124,845,379,307.31
  5. Step 5: Solve for x
    x = 124,845,379,307.31/164,376.84
  6. Step 6: Final answer
    x = 759,507.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.