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Finding the Third Proportional to 142,548.75 and 307,192.50

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Solution

The third proportional to 142,548.75 and 307,192.50 is: 661,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,548.75 : 307,192.50 = 307,192.50 : x
  2. Step 2: Convert to fraction form
    142,548.75/307,192.50 = 307,192.50/x
  3. Step 3: Cross multiply
    142,548.75x = 307,192.50 × 307,192.50
  4. Step 4: Simplify right side
    142,548.75x = 94,367,232,056.25
  5. Step 5: Solve for x
    x = 94,367,232,056.25/142,548.75
  6. Step 6: Final answer
    x = 661,999.72

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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.