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Finding the Third Proportional to 155,522 and 340,600

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Solution

The third proportional to 155,522 and 340,600 is: 745,928.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,522 : 340,600 = 340,600 : x
  2. Step 2: Convert to fraction form
    155,522/340,600 = 340,600/x
  3. Step 3: Cross multiply
    155,522x = 340,600 × 340,600
  4. Step 4: Simplify right side
    155,522x = 116,008,360,000
  5. Step 5: Solve for x
    x = 116,008,360,000/155,522
  6. Step 6: Final answer
    x = 745,928.94

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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.