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Finding the Third Proportional to 141,642 and 305,140.50

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Solution

The third proportional to 141,642 and 305,140.50 is: 657,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,642 : 305,140.50 = 305,140.50 : x
  2. Step 2: Convert to fraction form
    141,642/305,140.50 = 305,140.50/x
  3. Step 3: Cross multiply
    141,642x = 305,140.50 × 305,140.50
  4. Step 4: Simplify right side
    141,642x = 93,110,724,740.25
  5. Step 5: Solve for x
    x = 93,110,724,740.25/141,642
  6. Step 6: Final answer
    x = 657,366.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.