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Finding the Third Proportional to 147,749 and 326,602

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Solution

The third proportional to 147,749 and 326,602 is: 721,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,749 : 326,602 = 326,602 : x
  2. Step 2: Convert to fraction form
    147,749/326,602 = 326,602/x
  3. Step 3: Cross multiply
    147,749x = 326,602 × 326,602
  4. Step 4: Simplify right side
    147,749x = 106,668,866,404
  5. Step 5: Solve for x
    x = 106,668,866,404/147,749
  6. Step 6: Final answer
    x = 721,959.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.