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Finding the Third Proportional to 149,310 and 326,650

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Solution

The third proportional to 149,310 and 326,650 is: 714,622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,310 : 326,650 = 326,650 : x
  2. Step 2: Convert to fraction form
    149,310/326,650 = 326,650/x
  3. Step 3: Cross multiply
    149,310x = 326,650 × 326,650
  4. Step 4: Simplify right side
    149,310x = 106,700,222,500
  5. Step 5: Solve for x
    x = 106,700,222,500/149,310
  6. Step 6: Final answer
    x = 714,622.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.