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Finding the Third Proportional to 233,262 and 371,346

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Solution

The third proportional to 233,262 and 371,346 is: 591,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,262 : 371,346 = 371,346 : x
  2. Step 2: Convert to fraction form
    233,262/371,346 = 371,346/x
  3. Step 3: Cross multiply
    233,262x = 371,346 × 371,346
  4. Step 4: Simplify right side
    233,262x = 137,897,851,716
  5. Step 5: Solve for x
    x = 137,897,851,716/233,262
  6. Step 6: Final answer
    x = 591,171.52

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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.