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Finding the Third Proportional to 185,817 and 234,985.50

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Solution

The third proportional to 185,817 and 234,985.50 is: 297,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,817 : 234,985.50 = 234,985.50 : x
  2. Step 2: Convert to fraction form
    185,817/234,985.50 = 234,985.50/x
  3. Step 3: Cross multiply
    185,817x = 234,985.50 × 234,985.50
  4. Step 4: Simplify right side
    185,817x = 55,218,185,210.25
  5. Step 5: Solve for x
    x = 55,218,185,210.25/185,817
  6. Step 6: Final answer
    x = 297,164.33

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.