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Finding the Third Proportional to 173,506 and 260,097

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Solution

The third proportional to 173,506 and 260,097 is: 389,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,506 : 260,097 = 260,097 : x
  2. Step 2: Convert to fraction form
    173,506/260,097 = 260,097/x
  3. Step 3: Cross multiply
    173,506x = 260,097 × 260,097
  4. Step 4: Simplify right side
    173,506x = 67,650,449,409
  5. Step 5: Solve for x
    x = 67,650,449,409/173,506
  6. Step 6: Final answer
    x = 389,902.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.