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Finding the Third Proportional to 115,040 and 235,658

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Solution

The third proportional to 115,040 and 235,658 is: 482,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,040 : 235,658 = 235,658 : x
  2. Step 2: Convert to fraction form
    115,040/235,658 = 235,658/x
  3. Step 3: Cross multiply
    115,040x = 235,658 × 235,658
  4. Step 4: Simplify right side
    115,040x = 55,534,692,964
  5. Step 5: Solve for x
    x = 55,534,692,964/115,040
  6. Step 6: Final answer
    x = 482,742.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.