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Finding the Third Proportional to 106,312 and 233,360

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Solution

The third proportional to 106,312 and 233,360 is: 512,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,312 : 233,360 = 233,360 : x
  2. Step 2: Convert to fraction form
    106,312/233,360 = 233,360/x
  3. Step 3: Cross multiply
    106,312x = 233,360 × 233,360
  4. Step 4: Simplify right side
    106,312x = 54,456,889,600
  5. Step 5: Solve for x
    x = 54,456,889,600/106,312
  6. Step 6: Final answer
    x = 512,236.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.