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Finding the Third Proportional to 107,316 and 233,083

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Solution

The third proportional to 107,316 and 233,083 is: 506,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,316 : 233,083 = 233,083 : x
  2. Step 2: Convert to fraction form
    107,316/233,083 = 233,083/x
  3. Step 3: Cross multiply
    107,316x = 233,083 × 233,083
  4. Step 4: Simplify right side
    107,316x = 54,327,684,889
  5. Step 5: Solve for x
    x = 54,327,684,889/107,316
  6. Step 6: Final answer
    x = 506,240.31

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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.