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Finding the Third Proportional to 235,522 and 510,188

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Solution

The third proportional to 235,522 and 510,188 is: 1,105,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,522 : 510,188 = 510,188 : x
  2. Step 2: Convert to fraction form
    235,522/510,188 = 510,188/x
  3. Step 3: Cross multiply
    235,522x = 510,188 × 510,188
  4. Step 4: Simplify right side
    235,522x = 260,291,795,344
  5. Step 5: Solve for x
    x = 260,291,795,344/235,522
  6. Step 6: Final answer
    x = 1,105,169.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.