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Finding the Third Proportional to 120,088 and 260,688

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Solution

The third proportional to 120,088 and 260,688 is: 565,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,088 : 260,688 = 260,688 : x
  2. Step 2: Convert to fraction form
    120,088/260,688 = 260,688/x
  3. Step 3: Cross multiply
    120,088x = 260,688 × 260,688
  4. Step 4: Simplify right side
    120,088x = 67,958,233,344
  5. Step 5: Solve for x
    x = 67,958,233,344/120,088
  6. Step 6: Final answer
    x = 565,903.62

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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.