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Finding the Third Proportional to 105,167.50 and 229,610

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Solution

The third proportional to 105,167.50 and 229,610 is: 501,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,167.50 : 229,610 = 229,610 : x
  2. Step 2: Convert to fraction form
    105,167.50/229,610 = 229,610/x
  3. Step 3: Cross multiply
    105,167.50x = 229,610 × 229,610
  4. Step 4: Simplify right side
    105,167.50x = 52,720,752,100
  5. Step 5: Solve for x
    x = 52,720,752,100/105,167.50
  6. Step 6: Final answer
    x = 501,302.70

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