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Finding the Third Proportional to 233,532 and 362,346

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Solution

The third proportional to 233,532 and 362,346 is: 562,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,532 : 362,346 = 362,346 : x
  2. Step 2: Convert to fraction form
    233,532/362,346 = 362,346/x
  3. Step 3: Cross multiply
    233,532x = 362,346 × 362,346
  4. Step 4: Simplify right side
    233,532x = 131,294,623,716
  5. Step 5: Solve for x
    x = 131,294,623,716/233,532
  6. Step 6: Final answer
    x = 562,212.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.