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Finding the Third Proportional to 142,066 and 306,272

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Solution

The third proportional to 142,066 and 306,272 is: 660,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,066 : 306,272 = 306,272 : x
  2. Step 2: Convert to fraction form
    142,066/306,272 = 306,272/x
  3. Step 3: Cross multiply
    142,066x = 306,272 × 306,272
  4. Step 4: Simplify right side
    142,066x = 93,802,537,984
  5. Step 5: Solve for x
    x = 93,802,537,984/142,066
  6. Step 6: Final answer
    x = 660,274.37

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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.