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Finding the Third Proportional to 102,817.50 and 238,005.50

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Solution

The third proportional to 102,817.50 and 238,005.50 is: 550,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,817.50 : 238,005.50 = 238,005.50 : x
  2. Step 2: Convert to fraction form
    102,817.50/238,005.50 = 238,005.50/x
  3. Step 3: Cross multiply
    102,817.50x = 238,005.50 × 238,005.50
  4. Step 4: Simplify right side
    102,817.50x = 56,646,618,030.25
  5. Step 5: Solve for x
    x = 56,646,618,030.25/102,817.50
  6. Step 6: Final answer
    x = 550,943.35

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.