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Finding the Third Proportional to 107,315 and 233,309

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Solution

The third proportional to 107,315 and 233,309 is: 507,227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,315 : 233,309 = 233,309 : x
  2. Step 2: Convert to fraction form
    107,315/233,309 = 233,309/x
  3. Step 3: Cross multiply
    107,315x = 233,309 × 233,309
  4. Step 4: Simplify right side
    107,315x = 54,433,089,481
  5. Step 5: Solve for x
    x = 54,433,089,481/107,315
  6. Step 6: Final answer
    x = 507,227.22

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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.