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Finding the Third Proportional to 156,984 and 341,328

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Solution

The third proportional to 156,984 and 341,328 is: 742,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,984 : 341,328 = 341,328 : x
  2. Step 2: Convert to fraction form
    156,984/341,328 = 341,328/x
  3. Step 3: Cross multiply
    156,984x = 341,328 × 341,328
  4. Step 4: Simplify right side
    156,984x = 116,504,803,584
  5. Step 5: Solve for x
    x = 116,504,803,584/156,984
  6. Step 6: Final answer
    x = 742,144.45

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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.