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Finding the Third Proportional to 107,157 and 233,364

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Solution

The third proportional to 107,157 and 233,364 is: 508,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,157 : 233,364 = 233,364 : x
  2. Step 2: Convert to fraction form
    107,157/233,364 = 233,364/x
  3. Step 3: Cross multiply
    107,157x = 233,364 × 233,364
  4. Step 4: Simplify right side
    107,157x = 54,458,756,496
  5. Step 5: Solve for x
    x = 54,458,756,496/107,157
  6. Step 6: Final answer
    x = 508,214.64

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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.