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Finding the Third Proportional to 256,114.88 and 375,868.50

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Solution

The third proportional to 256,114.88 and 375,868.50 is: 551,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,114.88 : 375,868.50 = 375,868.50 : x
  2. Step 2: Convert to fraction form
    256,114.88/375,868.50 = 375,868.50/x
  3. Step 3: Cross multiply
    256,114.88x = 375,868.50 × 375,868.50
  4. Step 4: Simplify right side
    256,114.88x = 141,277,129,292.25
  5. Step 5: Solve for x
    x = 141,277,129,292.25/256,114.88
  6. Step 6: Final answer
    x = 551,616.26

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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.