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Finding the Third Proportional to 113,080 and 245,830

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Solution

The third proportional to 113,080 and 245,830 is: 534,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,080 : 245,830 = 245,830 : x
  2. Step 2: Convert to fraction form
    113,080/245,830 = 245,830/x
  3. Step 3: Cross multiply
    113,080x = 245,830 × 245,830
  4. Step 4: Simplify right side
    113,080x = 60,432,388,900
  5. Step 5: Solve for x
    x = 60,432,388,900/113,080
  6. Step 6: Final answer
    x = 534,421.55

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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.