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Finding the Third Proportional to 109,800 and 232,560

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Solution

The third proportional to 109,800 and 232,560 is: 492,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,800 : 232,560 = 232,560 : x
  2. Step 2: Convert to fraction form
    109,800/232,560 = 232,560/x
  3. Step 3: Cross multiply
    109,800x = 232,560 × 232,560
  4. Step 4: Simplify right side
    109,800x = 54,084,153,600
  5. Step 5: Solve for x
    x = 54,084,153,600/109,800
  6. Step 6: Final answer
    x = 492,569.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.