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Finding the Third Proportional to 107,058 and 233,178

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Solution

The third proportional to 107,058 and 233,178 is: 507,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,058 : 233,178 = 233,178 : x
  2. Step 2: Convert to fraction form
    107,058/233,178 = 233,178/x
  3. Step 3: Cross multiply
    107,058x = 233,178 × 233,178
  4. Step 4: Simplify right side
    107,058x = 54,371,979,684
  5. Step 5: Solve for x
    x = 54,371,979,684/107,058
  6. Step 6: Final answer
    x = 507,874.05

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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.