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Finding the Third Proportional to 142,048.69 and 306,630.88

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Solution

The third proportional to 142,048.69 and 306,630.88 is: 661,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,048.69 : 306,630.88 = 306,630.88 : x
  2. Step 2: Convert to fraction form
    142,048.69/306,630.88 = 306,630.88/x
  3. Step 3: Cross multiply
    142,048.69x = 306,630.88 × 306,630.88
  4. Step 4: Simplify right side
    142,048.69x = 94,022,495,898.82
  5. Step 5: Solve for x
    x = 94,022,495,898.82/142,048.69
  6. Step 6: Final answer
    x = 661,903.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.