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Finding the Third Proportional to 256,201 and 364,962.75

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Solution

The third proportional to 256,201 and 364,962.75 is: 519,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,201 : 364,962.75 = 364,962.75 : x
  2. Step 2: Convert to fraction form
    256,201/364,962.75 = 364,962.75/x
  3. Step 3: Cross multiply
    256,201x = 364,962.75 × 364,962.75
  4. Step 4: Simplify right side
    256,201x = 133,197,808,887.56
  5. Step 5: Solve for x
    x = 133,197,808,887.56/256,201
  6. Step 6: Final answer
    x = 519,895.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.