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Finding the Third Proportional to 142,188 and 307,140

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Solution

The third proportional to 142,188 and 307,140 is: 663,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,188 : 307,140 = 307,140 : x
  2. Step 2: Convert to fraction form
    142,188/307,140 = 307,140/x
  3. Step 3: Cross multiply
    142,188x = 307,140 × 307,140
  4. Step 4: Simplify right side
    142,188x = 94,334,979,600
  5. Step 5: Solve for x
    x = 94,334,979,600/142,188
  6. Step 6: Final answer
    x = 663,452.47

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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.