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Finding the Third Proportional to 107,056 and 233,178

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Solution

The third proportional to 107,056 and 233,178 is: 507,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,056 : 233,178 = 233,178 : x
  2. Step 2: Convert to fraction form
    107,056/233,178 = 233,178/x
  3. Step 3: Cross multiply
    107,056x = 233,178 × 233,178
  4. Step 4: Simplify right side
    107,056x = 54,371,979,684
  5. Step 5: Solve for x
    x = 54,371,979,684/107,056
  6. Step 6: Final answer
    x = 507,883.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.