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Finding the Third Proportional to 107,159 and 233,368

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Solution

The third proportional to 107,159 and 233,368 is: 508,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,159 : 233,368 = 233,368 : x
  2. Step 2: Convert to fraction form
    107,159/233,368 = 233,368/x
  3. Step 3: Cross multiply
    107,159x = 233,368 × 233,368
  4. Step 4: Simplify right side
    107,159x = 54,460,623,424
  5. Step 5: Solve for x
    x = 54,460,623,424/107,159
  6. Step 6: Final answer
    x = 508,222.58

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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.