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Finding the Third Proportional to 142,116 and 307,035

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Solution

The third proportional to 142,116 and 307,035 is: 663,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,116 : 307,035 = 307,035 : x
  2. Step 2: Convert to fraction form
    142,116/307,035 = 307,035/x
  3. Step 3: Cross multiply
    142,116x = 307,035 × 307,035
  4. Step 4: Simplify right side
    142,116x = 94,270,491,225
  5. Step 5: Solve for x
    x = 94,270,491,225/142,116
  6. Step 6: Final answer
    x = 663,334.82

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Why These Related Problems?

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