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Finding the Third Proportional to 109,334 and 236,803

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Solution

The third proportional to 109,334 and 236,803 is: 512,884.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,334 : 236,803 = 236,803 : x
  2. Step 2: Convert to fraction form
    109,334/236,803 = 236,803/x
  3. Step 3: Cross multiply
    109,334x = 236,803 × 236,803
  4. Step 4: Simplify right side
    109,334x = 56,075,660,809
  5. Step 5: Solve for x
    x = 56,075,660,809/109,334
  6. Step 6: Final answer
    x = 512,884.01

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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.