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Finding the Third Proportional to 121,351.50 and 255,253.50

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Solution

The third proportional to 121,351.50 and 255,253.50 is: 536,906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,351.50 : 255,253.50 = 255,253.50 : x
  2. Step 2: Convert to fraction form
    121,351.50/255,253.50 = 255,253.50/x
  3. Step 3: Cross multiply
    121,351.50x = 255,253.50 × 255,253.50
  4. Step 4: Simplify right side
    121,351.50x = 65,154,349,262.25
  5. Step 5: Solve for x
    x = 65,154,349,262.25/121,351.50
  6. Step 6: Final answer
    x = 536,906.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.