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Finding the Third Proportional to 256,114.13 and 375,867.56

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Solution

The third proportional to 256,114.13 and 375,867.56 is: 551,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,114.13 : 375,867.56 = 375,867.56 : x
  2. Step 2: Convert to fraction form
    256,114.13/375,867.56 = 375,867.56/x
  3. Step 3: Cross multiply
    256,114.13x = 375,867.56 × 375,867.56
  4. Step 4: Simplify right side
    256,114.13x = 141,276,424,539.69
  5. Step 5: Solve for x
    x = 141,276,424,539.69/256,114.13
  6. Step 6: Final answer
    x = 551,615.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.