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Finding the Third Proportional to 141,796.50 and 219,666.50

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Solution

The third proportional to 141,796.50 and 219,666.50 is: 340,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,796.50 : 219,666.50 = 219,666.50 : x
  2. Step 2: Convert to fraction form
    141,796.50/219,666.50 = 219,666.50/x
  3. Step 3: Cross multiply
    141,796.50x = 219,666.50 × 219,666.50
  4. Step 4: Simplify right side
    141,796.50x = 48,253,371,222.25
  5. Step 5: Solve for x
    x = 48,253,371,222.25/141,796.50
  6. Step 6: Final answer
    x = 340,300.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.