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Finding the Third Proportional to 108,575.63 and 242,058.75

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Solution

The third proportional to 108,575.63 and 242,058.75 is: 539,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,575.63 : 242,058.75 = 242,058.75 : x
  2. Step 2: Convert to fraction form
    108,575.63/242,058.75 = 242,058.75/x
  3. Step 3: Cross multiply
    108,575.63x = 242,058.75 × 242,058.75
  4. Step 4: Simplify right side
    108,575.63x = 58,592,438,451.56
  5. Step 5: Solve for x
    x = 58,592,438,451.56/108,575.63
  6. Step 6: Final answer
    x = 539,646.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.