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Finding the Third Proportional to 106,488 and 233,712

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Solution

The third proportional to 106,488 and 233,712 is: 512,933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,488 : 233,712 = 233,712 : x
  2. Step 2: Convert to fraction form
    106,488/233,712 = 233,712/x
  3. Step 3: Cross multiply
    106,488x = 233,712 × 233,712
  4. Step 4: Simplify right side
    106,488x = 54,621,298,944
  5. Step 5: Solve for x
    x = 54,621,298,944/106,488
  6. Step 6: Final answer
    x = 512,933.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.