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Finding the Third Proportional to 233,250 and 371,328

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Solution

The third proportional to 233,250 and 371,328 is: 591,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,250 : 371,328 = 371,328 : x
  2. Step 2: Convert to fraction form
    233,250/371,328 = 371,328/x
  3. Step 3: Cross multiply
    233,250x = 371,328 × 371,328
  4. Step 4: Simplify right side
    233,250x = 137,884,483,584
  5. Step 5: Solve for x
    x = 137,884,483,584/233,250
  6. Step 6: Final answer
    x = 591,144.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.