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Finding the Third Proportional to 107,504 and 233,664

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Solution

The third proportional to 107,504 and 233,664 is: 507,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,504 : 233,664 = 233,664 : x
  2. Step 2: Convert to fraction form
    107,504/233,664 = 233,664/x
  3. Step 3: Cross multiply
    107,504x = 233,664 × 233,664
  4. Step 4: Simplify right side
    107,504x = 54,598,864,896
  5. Step 5: Solve for x
    x = 54,598,864,896/107,504
  6. Step 6: Final answer
    x = 507,877.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.