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Finding the Third Proportional to 233,100 and 350,298

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Solution

The third proportional to 233,100 and 350,298 is: 526,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,100 : 350,298 = 350,298 : x
  2. Step 2: Convert to fraction form
    233,100/350,298 = 350,298/x
  3. Step 3: Cross multiply
    233,100x = 350,298 × 350,298
  4. Step 4: Simplify right side
    233,100x = 122,708,688,804
  5. Step 5: Solve for x
    x = 122,708,688,804/233,100
  6. Step 6: Final answer
    x = 526,420.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.