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Finding the Third Proportional to 140,984 and 305,342

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Solution

The third proportional to 140,984 and 305,342 is: 661,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,984 : 305,342 = 305,342 : x
  2. Step 2: Convert to fraction form
    140,984/305,342 = 305,342/x
  3. Step 3: Cross multiply
    140,984x = 305,342 × 305,342
  4. Step 4: Simplify right side
    140,984x = 93,233,736,964
  5. Step 5: Solve for x
    x = 93,233,736,964/140,984
  6. Step 6: Final answer
    x = 661,307.22

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