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Finding the Third Proportional to 109,522 and 235,402

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Solution

The third proportional to 109,522 and 235,402 is: 505,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,522 : 235,402 = 235,402 : x
  2. Step 2: Convert to fraction form
    109,522/235,402 = 235,402/x
  3. Step 3: Cross multiply
    109,522x = 235,402 × 235,402
  4. Step 4: Simplify right side
    109,522x = 55,414,101,604
  5. Step 5: Solve for x
    x = 55,414,101,604/109,522
  6. Step 6: Final answer
    x = 505,963.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.