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Finding the Third Proportional to 233,258 and 371,338

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Solution

The third proportional to 233,258 and 371,338 is: 591,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,258 : 371,338 = 371,338 : x
  2. Step 2: Convert to fraction form
    233,258/371,338 = 371,338/x
  3. Step 3: Cross multiply
    233,258x = 371,338 × 371,338
  4. Step 4: Simplify right side
    233,258x = 137,891,910,244
  5. Step 5: Solve for x
    x = 137,891,910,244/233,258
  6. Step 6: Final answer
    x = 591,156.19

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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.