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Finding the Third Proportional to 107,564 and 233,524

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Solution

The third proportional to 107,564 and 233,524 is: 506,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,564 : 233,524 = 233,524 : x
  2. Step 2: Convert to fraction form
    107,564/233,524 = 233,524/x
  3. Step 3: Cross multiply
    107,564x = 233,524 × 233,524
  4. Step 4: Simplify right side
    107,564x = 54,533,458,576
  5. Step 5: Solve for x
    x = 54,533,458,576/107,564
  6. Step 6: Final answer
    x = 506,986.15

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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.