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Finding the Third Proportional to 109,059 and 235,303

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Solution

The third proportional to 109,059 and 235,303 is: 507,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,059 : 235,303 = 235,303 : x
  2. Step 2: Convert to fraction form
    109,059/235,303 = 235,303/x
  3. Step 3: Cross multiply
    109,059x = 235,303 × 235,303
  4. Step 4: Simplify right side
    109,059x = 55,367,501,809
  5. Step 5: Solve for x
    x = 55,367,501,809/109,059
  6. Step 6: Final answer
    x = 507,683.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.