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Finding the Third Proportional to 142,734.50 and 307,392.50

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Solution

The third proportional to 142,734.50 and 307,392.50 is: 661,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,734.50 : 307,392.50 = 307,392.50 : x
  2. Step 2: Convert to fraction form
    142,734.50/307,392.50 = 307,392.50/x
  3. Step 3: Cross multiply
    142,734.50x = 307,392.50 × 307,392.50
  4. Step 4: Simplify right side
    142,734.50x = 94,490,149,056.25
  5. Step 5: Solve for x
    x = 94,490,149,056.25/142,734.50
  6. Step 6: Final answer
    x = 661,999.37

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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.