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Finding the Third Proportional to 233,160.75 and 354,294

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Solution

The third proportional to 233,160.75 and 354,294 is: 538,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,160.75 : 354,294 = 354,294 : x
  2. Step 2: Convert to fraction form
    233,160.75/354,294 = 354,294/x
  3. Step 3: Cross multiply
    233,160.75x = 354,294 × 354,294
  4. Step 4: Simplify right side
    233,160.75x = 125,524,238,436
  5. Step 5: Solve for x
    x = 125,524,238,436/233,160.75
  6. Step 6: Final answer
    x = 538,359.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.