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Finding the Third Proportional to 107,317 and 233,313

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Solution

The third proportional to 107,317 and 233,313 is: 507,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,317 : 233,313 = 233,313 : x
  2. Step 2: Convert to fraction form
    107,317/233,313 = 233,313/x
  3. Step 3: Cross multiply
    107,317x = 233,313 × 233,313
  4. Step 4: Simplify right side
    107,317x = 54,434,955,969
  5. Step 5: Solve for x
    x = 54,434,955,969/107,317
  6. Step 6: Final answer
    x = 507,235.16

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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.