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Finding the Third Proportional to 234,522 and 363,360

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Solution

The third proportional to 234,522 and 363,360 is: 562,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,522 : 363,360 = 363,360 : x
  2. Step 2: Convert to fraction form
    234,522/363,360 = 363,360/x
  3. Step 3: Cross multiply
    234,522x = 363,360 × 363,360
  4. Step 4: Simplify right side
    234,522x = 132,030,489,600
  5. Step 5: Solve for x
    x = 132,030,489,600/234,522
  6. Step 6: Final answer
    x = 562,976.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.