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Finding the Third Proportional to 107,424 and 232,560

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Solution

The third proportional to 107,424 and 232,560 is: 503,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,424 : 232,560 = 232,560 : x
  2. Step 2: Convert to fraction form
    107,424/232,560 = 232,560/x
  3. Step 3: Cross multiply
    107,424x = 232,560 × 232,560
  4. Step 4: Simplify right side
    107,424x = 54,084,153,600
  5. Step 5: Solve for x
    x = 54,084,153,600/107,424
  6. Step 6: Final answer
    x = 503,464.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.