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Finding the Third Proportional to 113,050 and 245,540

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Solution

The third proportional to 113,050 and 245,540 is: 533,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,050 : 245,540 = 245,540 : x
  2. Step 2: Convert to fraction form
    113,050/245,540 = 245,540/x
  3. Step 3: Cross multiply
    113,050x = 245,540 × 245,540
  4. Step 4: Simplify right side
    113,050x = 60,289,891,600
  5. Step 5: Solve for x
    x = 60,289,891,600/113,050
  6. Step 6: Final answer
    x = 533,302.89

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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.