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Finding the Third Proportional to 106,648 and 233,382

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Solution

The third proportional to 106,648 and 233,382 is: 510,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,648 : 233,382 = 233,382 : x
  2. Step 2: Convert to fraction form
    106,648/233,382 = 233,382/x
  3. Step 3: Cross multiply
    106,648x = 233,382 × 233,382
  4. Step 4: Simplify right side
    106,648x = 54,467,157,924
  5. Step 5: Solve for x
    x = 54,467,157,924/106,648
  6. Step 6: Final answer
    x = 510,718.98

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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.