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Finding the Third Proportional to 233,253 and 371,331

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Solution

The third proportional to 233,253 and 371,331 is: 591,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,253 : 371,331 = 371,331 : x
  2. Step 2: Convert to fraction form
    233,253/371,331 = 371,331/x
  3. Step 3: Cross multiply
    233,253x = 371,331 × 371,331
  4. Step 4: Simplify right side
    233,253x = 137,886,711,561
  5. Step 5: Solve for x
    x = 137,886,711,561/233,253
  6. Step 6: Final answer
    x = 591,146.57

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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.