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Finding the Third Proportional to 134,985 and 296,418

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Solution

The third proportional to 134,985 and 296,418 is: 650,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,985 : 296,418 = 296,418 : x
  2. Step 2: Convert to fraction form
    134,985/296,418 = 296,418/x
  3. Step 3: Cross multiply
    134,985x = 296,418 × 296,418
  4. Step 4: Simplify right side
    134,985x = 87,863,630,724
  5. Step 5: Solve for x
    x = 87,863,630,724/134,985
  6. Step 6: Final answer
    x = 650,914.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.