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Finding the Third Proportional to 254,423 and 345,527

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Solution

The third proportional to 254,423 and 345,527 is: 469,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,423 : 345,527 = 345,527 : x
  2. Step 2: Convert to fraction form
    254,423/345,527 = 345,527/x
  3. Step 3: Cross multiply
    254,423x = 345,527 × 345,527
  4. Step 4: Simplify right side
    254,423x = 119,388,907,729
  5. Step 5: Solve for x
    x = 119,388,907,729/254,423
  6. Step 6: Final answer
    x = 469,253.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.