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Finding the Third Proportional to 256,117.50 and 375,871.50

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Solution

The third proportional to 256,117.50 and 375,871.50 is: 551,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,117.50 : 375,871.50 = 375,871.50 : x
  2. Step 2: Convert to fraction form
    256,117.50/375,871.50 = 375,871.50/x
  3. Step 3: Cross multiply
    256,117.50x = 375,871.50 × 375,871.50
  4. Step 4: Simplify right side
    256,117.50x = 141,279,384,512.25
  5. Step 5: Solve for x
    x = 141,279,384,512.25/256,117.50
  6. Step 6: Final answer
    x = 551,619.41

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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.