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Finding the Third Proportional to 256,209 and 385,137

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Solution

The third proportional to 256,209 and 385,137 is: 578,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,209 : 385,137 = 385,137 : x
  2. Step 2: Convert to fraction form
    256,209/385,137 = 385,137/x
  3. Step 3: Cross multiply
    256,209x = 385,137 × 385,137
  4. Step 4: Simplify right side
    256,209x = 148,330,508,769
  5. Step 5: Solve for x
    x = 148,330,508,769/256,209
  6. Step 6: Final answer
    x = 578,943.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.