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Finding the Third Proportional to 233,242 and 371,315

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Solution

The third proportional to 233,242 and 371,315 is: 591,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,242 : 371,315 = 371,315 : x
  2. Step 2: Convert to fraction form
    233,242/371,315 = 371,315/x
  3. Step 3: Cross multiply
    233,242x = 371,315 × 371,315
  4. Step 4: Simplify right side
    233,242x = 137,874,829,225
  5. Step 5: Solve for x
    x = 137,874,829,225/233,242
  6. Step 6: Final answer
    x = 591,123.51

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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.