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Finding the Third Proportional to 142,056 and 308,412

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Solution

The third proportional to 142,056 and 308,412 is: 669,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,056 : 308,412 = 308,412 : x
  2. Step 2: Convert to fraction form
    142,056/308,412 = 308,412/x
  3. Step 3: Cross multiply
    142,056x = 308,412 × 308,412
  4. Step 4: Simplify right side
    142,056x = 95,117,961,744
  5. Step 5: Solve for x
    x = 95,117,961,744/142,056
  6. Step 6: Final answer
    x = 669,580.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.