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Finding the Third Proportional to 182,088 and 371,398.50

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Solution

The third proportional to 182,088 and 371,398.50 is: 757,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,088 : 371,398.50 = 371,398.50 : x
  2. Step 2: Convert to fraction form
    182,088/371,398.50 = 371,398.50/x
  3. Step 3: Cross multiply
    182,088x = 371,398.50 × 371,398.50
  4. Step 4: Simplify right side
    182,088x = 137,936,845,802.25
  5. Step 5: Solve for x
    x = 137,936,845,802.25/182,088
  6. Step 6: Final answer
    x = 757,528.48

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.