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Finding the Third Proportional to 107,776 and 233,984

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Solution

The third proportional to 107,776 and 233,984 is: 507,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,776 : 233,984 = 233,984 : x
  2. Step 2: Convert to fraction form
    107,776/233,984 = 233,984/x
  3. Step 3: Cross multiply
    107,776x = 233,984 × 233,984
  4. Step 4: Simplify right side
    107,776x = 54,748,512,256
  5. Step 5: Solve for x
    x = 54,748,512,256/107,776
  6. Step 6: Final answer
    x = 507,984.27

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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.