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Finding the Third Proportional to 106,640 and 233,368

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Solution

The third proportional to 106,640 and 233,368 is: 510,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,640 : 233,368 = 233,368 : x
  2. Step 2: Convert to fraction form
    106,640/233,368 = 233,368/x
  3. Step 3: Cross multiply
    106,640x = 233,368 × 233,368
  4. Step 4: Simplify right side
    106,640x = 54,460,623,424
  5. Step 5: Solve for x
    x = 54,460,623,424/106,640
  6. Step 6: Final answer
    x = 510,696.02

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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.