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Finding the Third Proportional to 154,522 and 325,650

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Solution

The third proportional to 154,522 and 325,650 is: 686,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,522 : 325,650 = 325,650 : x
  2. Step 2: Convert to fraction form
    154,522/325,650 = 325,650/x
  3. Step 3: Cross multiply
    154,522x = 325,650 × 325,650
  4. Step 4: Simplify right side
    154,522x = 106,047,922,500
  5. Step 5: Solve for x
    x = 106,047,922,500/154,522
  6. Step 6: Final answer
    x = 686,296.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.