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Finding the Third Proportional to 117,115 and 260,432

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Solution

The third proportional to 117,115 and 260,432 is: 579,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,115 : 260,432 = 260,432 : x
  2. Step 2: Convert to fraction form
    117,115/260,432 = 260,432/x
  3. Step 3: Cross multiply
    117,115x = 260,432 × 260,432
  4. Step 4: Simplify right side
    117,115x = 67,824,826,624
  5. Step 5: Solve for x
    x = 67,824,826,624/117,115
  6. Step 6: Final answer
    x = 579,130.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.