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Finding the Third Proportional to 131,188.50 and 242,664

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Solution

The third proportional to 131,188.50 and 242,664 is: 448,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,188.50 : 242,664 = 242,664 : x
  2. Step 2: Convert to fraction form
    131,188.50/242,664 = 242,664/x
  3. Step 3: Cross multiply
    131,188.50x = 242,664 × 242,664
  4. Step 4: Simplify right side
    131,188.50x = 58,885,816,896
  5. Step 5: Solve for x
    x = 58,885,816,896/131,188.50
  6. Step 6: Final answer
    x = 448,864.17

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.