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Finding the Third Proportional to 256,116 and 370,013

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Solution

The third proportional to 256,116 and 370,013 is: 534,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,116 : 370,013 = 370,013 : x
  2. Step 2: Convert to fraction form
    256,116/370,013 = 370,013/x
  3. Step 3: Cross multiply
    256,116x = 370,013 × 370,013
  4. Step 4: Simplify right side
    256,116x = 136,909,620,169
  5. Step 5: Solve for x
    x = 136,909,620,169/256,116
  6. Step 6: Final answer
    x = 534,560.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.